The sign that is used for the square root is actually a root sign: the little 2 before it denotes that it is the square root. A little 3 would indicate it is a cube root, a little 4 that it is a fourth root and so on. However, conventionally, if no number is shown, it may be assumed that it is the square root.
Say the monomial is 4a squared. To find the square root to must do each part seperately. So square root of 4 is 2 and the square root of a-squared is |a| because we do not know the sign of a. The answer is 2|a|. If there is anything that cannot be "square rooted" then it would stay under a square root sign and just multiply by 2a as well. The principal root of a number is only its positive root (you can understand that you are looking for the principal root from the sign in front of the radical, which is a positive one)
It's a little hard to show on here but if you have 5 x 2 and put that all under the same radical sign(square root sign) that will be it.
The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).
The rules for "standard radical form" are that (a) there should be no perfect square within the radical sign; for example, square root of 12 is equal to square root of 4 x square root of 3 = 2 x square root of 3, and should be written as the latter; and (b) there should be no radical sign in the denominator. For example, if you have 1 / square root of 2, you multiply top and bottom by the square root of 2, to get a square root in the numerator, but none in the denominator.
I will use "root" as a symbol for square root. I assume you want to get rid of the square root in the denominator; this will usually bring some square root into the numerator.If you have the square root by itself, or as a factor, multiply numerator and denominator by this square root. Example:3 / root(2) = 3 x root(2) / root(2) x root(2) = 3 x root(2) / 2.If the square root is added or subtracted with something else, multiply with a "complement", as in the following example:1 / root(2) + 5The "complement" is the same expression, but changing the plus sign to a minus sign. Multiply numerator and denominator aby root(2) - 5:root(2) - 5 / (root(2) + 5)(root(2) - 5)= (root(2) - 5) / (2 - 25)= (root(2) - 5) / -23= -(root(2) - 5) / 23
It might be best to answer this with an example. Look at the square root of 8. To simplify it we notice that 8 is 2x4 and that 4 is a perfect square. So we can simplify the square root by taking the 4 out of the radical sign and writing it as 2xsquare root of 2. Perhaps a better way to think of this is that is you have square root of a x square root of b, that is the square root of (ab). So if we have square root of 8 that is the same as square root of 4 x square root of 2 and square root of 4 is 2 so the answer is 2xsquare root of 2. In general, look for perfect squares and factor them out of the number so they can be removed from the square root.
The square root of 60 is the square root of 2 x 2 x 3 x 5. When that is simplified, a 2 comes out from under the radical sign, resulting in a final answer of 2 radical 15.
The square root of 2 plus the square root of 2 is equal to twice the square root of 2, therefore the correct answer is: 2(√2) or √8
2 square root 2
4X10= 40 take the square root of 2 and makes exactly a 2, and just leave the square root of 10 with radical sign so the answer is 2i square root of 10
Well, there technically is not a way to simplify the square root of 2, but the simplified version of the square root of 72 is 6 square root 2
square root 2 times square root 3 times square root 8
2 is the same as the square root of 4. Square root of 4 multiplied by square root of 2 is equal to the square root of 8.
the square root of 4 is 2 square root 2
Assuming the calculator can do exponents, take the number and raise it to the power of 1/2.
It can be an exponent (if you find it after your number) or a root (if you find it in the bend of the square root sign. In the square root sign that goes over a number, if there is nothing in the bend (or the "V") of the sign, then the sign indicates the square root of the number under the "roof" of the sign. If there IS a number in the "V", for instance 3, it means the cube root of the number under the roof; a 4 in the V means the fourth root, and so on. Think of a number under the roof of the square root sign as yielding the opposite value from the same number with an exponent of 2. If you put a number with an exponent of 2 under a square root sign, the result will be your original number: in other words, the square root of 2 squared is 2. If you want to express a square root without the square root sign, you could simply give your number an exponent of the RECIPROCAL of two (e.g. 9-1/2), which equals 3. In words, this means nine to the one-half power equals the square root of nine, equals 3.x2 -- the 2 is called a subscript which here means the second value of x, usually after being changed by a function, or perhaps it indicates the second value of x that will be used in your calculationx2 -- the 2 is called a superscript (or "power") which here means x to the second power (x squared).
The square root of -8 is sqrt(8)*i where i is the imaginary square root of -1. It can also be written as 2*sqrt(2)*i - which looks a bit neater when the radical sign is used. That is, unfortunately, not possible with this browser.
hmm... okay, if I understand you correctly, 2 times the square root of 3 times the square root of 12? = 2(1.73)(3.46) = 11.9716. If you aren't using the approximations, then just simplifying is... [sorry, I can't do the square root sign on the computer...] 2(square root of 3)(square root of 12) = 2(square root of 3)(square root of 4*3) = 4(square root of 3)(square root of 3) = 4(3) = 12!!! HOPE I HELPED!! :-)
The square of any square root is equal to the number itself. For example, the square of the square root of 2 squared is equal to 2. The square root of 10 squared is equal to 10.Similarly, the square of the square root of 2 is equal to 2.
The square root of two times the square root of two equals two
It is 2*sqrt(5).
The square root of 48 can be written as 48 with a square root sign over it, 48 to the 1/2 power, a decimal equivalent (6.92...), or simplified as 4 square-roots of 3.
square root of 20 = square root of 4 * square root of 5. square root of 4 = 2, so your answer is 2 square root of 5.