Find ab
The square root of Ab^2 is |b|√A, where A is a positive real number and b is any real number. The absolute value of b is taken to ensure the result is always positive or zero. If b is negative, the result will be |b| times the square root of A.
AB can be found by using the distance formula, which is the square root of (x2-x1)^2 + (y2-y1)^2. In this case, AB= the square root of (-2-(-8))^2 + (-4-(-4))^2 which AB= the square root of 64 + 0 which AB=8.
The length of ab can be found by using the Pythagorean theorem. The length of ab is equal to the square root of (0-8)^2 + (0-2)^2 which is equal to the square root of 68. Therefore, the length of ab is equal to 8.24.
Yes, that is correct. It is one of the basic properties of surds, and is used in many identities and some equations, to simplify and calulate and prove.
Find ab
The square root of Ab^2 is |b|√A, where A is a positive real number and b is any real number. The absolute value of b is taken to ensure the result is always positive or zero. If b is negative, the result will be |b| times the square root of A.
AB can be found by using the distance formula, which is the square root of (x2-x1)^2 + (y2-y1)^2. In this case, AB= the square root of (-2-(-8))^2 + (-4-(-4))^2 which AB= the square root of 64 + 0 which AB=8.
Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)
The length of ab can be found by using the Pythagorean theorem. The length of ab is equal to the square root of (0-8)^2 + (0-2)^2 which is equal to the square root of 68. Therefore, the length of ab is equal to 8.24.
Yes, that is correct. It is one of the basic properties of surds, and is used in many identities and some equations, to simplify and calulate and prove.
4
We use the property of square roots that says the square root of (ab)=square root (a) multiplied by square root of b So square root (4x)=square root (4) mutiplies by square root of x =2(square root (x)) 2sqrt(x)
When multiplying two square roots together, it is helpful to remember the following rule: root ab = (root a)(root b) In this case we can multiply 10 by 15 to get 150, and say the answer is the square root of 150. This can then be split up again into root 25 and root 6. Root 25 = 5, so the simplest form of the answer is "5 root 6" This is approximately 12.247
ab = sqrt(27) - sqrt(15) = sqrt(3)*3 - sqrt(3)*sqrt(5) = sqrt(3)*(3 - sqrt(5)) and that cannot be simplified further.
Make use of the property that sqrt(ab)=sqrt(a) x sqrt(b) and try to find an 'a' or 'b' that can be expressed as a whole number; these combinations of a square root and a coefficient are called surds.e.g. In square root form, sqrt(18) = sqrt(9 x 2)= sqrt(9) x sqrt(2). This, in surd form, is 3 x sqrt(2).Note that the property sqrt(ab) = sqrt(a) X sqrt(b) does not hold for negative radicands (imaginary numbers) unless negative roots are accounted for. For example, it is known that sqrt(-1) X sqrt(-1) = -1. The property mentioned above would imply that sqrt(-1) X sqrt(-1) = sqrt(-1 X (-1) = sqrt(1) which is only true if the square root of 1 is taken to be either 1 or -1.
To find the length of AC, use the Pythagorean theorem. AC equals the square root of (AB squared + BC squared), which is the square root of (9 squared + 12 squared), giving AC = square root of (81 + 144) = square root of 225 = 15 centimeters.