First note that 84=4x21 and 4 is a perfect square. So square root of (84)=square root (4x21)=Square root (4) Square root (21)= 2 multiplied by the square root of 21. You can also write this using rational exponents, but this is not in radical form. It is an equivalent expression, however. 2 x (21)1/2
There is normally a square root button on your calculator The square root of a number is a number times itself. Most square roots are memorized, such as the square root of 16 being four. The easiest way to find a square root is using the root function on a calculator. you find the square route by thinking what times this number equals this number. For example.... the square route of 64 is 8 because 8x8 equals 64. Basically the same number times itself. Another example 12x12=144 notice the factors are the same.
The square root of 64/4 = 4
That greatly depends on what level of math you are taking. Early math classes might want you to say, "You can't take the square root of a negative number." Later math will talk about real numbers and still the answer would be, "The square root of -4 does not have a real answer." Still later in your math career you will see imaginary numbers whereby the special character "i" is equivalent the the square root of -1. If imaginary answers are allowed, then the square root of -4 = 2i (since -4 is the same as -1 x 4, the square root of -1 x 4 = i x 2 =2i)
square root of (5-9)^2+(1+6)^2
10 square root 3.
First note that 84=4x21 and 4 is a perfect square. So square root of (84)=square root (4x21)=Square root (4) Square root (21)= 2 multiplied by the square root of 21. You can also write this using rational exponents, but this is not in radical form. It is an equivalent expression, however. 2 x (21)1/2
The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.
6.92820323
Multiply the entire expression by a least common multiple and then simplify the expression. In this case, the least common multiple is 30 so multiply the entire expression by 30 and simplify.
4
4
sqrt(3/4) = sqrt(3)/2
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 root of 4 is 2 square root 2
The square root of 8 is an irrational number and so can only be represented by an infinitely long decimal expression. Rounded to 4 decimal places, it is 2.8284
9 square root 4 minus 12 square root 4 = -6