sqrt of 5 to the 2 power is 5
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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
Square root of 6
The question does not make clear what exactly is being sought. Is it ..... (the square root of 2) x 5 or ...... the square root of (2 x 5) The answer to the first is worked out as follows The square root of 2 = 1.4142 1.4142 x 5 = 7.071 The answer to the second is worked out as follows 2 x 5 = 10 The square root of 10 = 3.1623