An example may help. If you have the fraction 1 / (2 + root(3)), where root() is the square root function, you multiply top and bottom by (2 - root(3)). If you multiply everything out, you will have no square root in the denominator, instead, you will have a square root in the numerator. If the denominator is only a root, eg root(3), you multiply top and bottom by root(3).
81
Depends on the situation. You usually have to multiply numerator and denominator by some number or expression. Examples: 1 / square root of 2 Here, you have to multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3) Here, you have to multiply numerator and denominator by (square root of 2 - square root of 3).
3
To multiply 2 square root of 2 by 3 square root of 6, simplify each square root separately first: 2 square root of 2 simplifies to 2√2, and 3 square root of 6 simplifies to 3√6. Then, multiply the coefficients (2 and 3) to get 6, and multiply the square roots (√2 and √6) to get √(2x6) = √12. So, the final answer is 6√12.
An example may help. If you have the fraction 1 / (2 + root(3)), where root() is the square root function, you multiply top and bottom by (2 - root(3)). If you multiply everything out, you will have no square root in the denominator, instead, you will have a square root in the numerator. If the denominator is only a root, eg root(3), you multiply top and bottom by root(3).
square root 6
Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.
81
54
Depends on the situation. You usually have to multiply numerator and denominator by some number or expression. Examples: 1 / square root of 2 Here, you have to multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3) Here, you have to multiply numerator and denominator by (square root of 2 - square root of 3).
3
You multiply the numerator and the denominator by the "conjugate" of the denominator. For example, if the denominator is root(2) + root(3), you multiply top and bottom by root(2) - root(3). This will eliminate the roots in the denonimator.
4
The answer to square root of 9 for example, is 3 and -3... When you multiply 3 times -3 it comes out to be 9
The numbers are: (3 +square root of 153) and (3 -square root of 153)
The square root of 3 is 1.73205081* * * * *or -1.732050812.23606798