1/[5 + 3*sqrt(2)] = [5 - 3*sqrt(2)]/{[5 + 3*sqrt(2)][5 - 3*sqrt(2)]}
= [5 + 3*sqrt(2)]/[25 - 18] = [5 - 3*sqrt(2)]/7
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Multiplicative inverse is the number that, when multiplied, results in 1, usually 1/# 1/sqrt7 is the inverse, so just rationalize the denominator sqrt7/7 = square root of 7 divided by 7
The answer depends on what the inverse refers to.The additive inverse of 12 is -12 and so the square of the additive inverse of 12 is (-12)^2 = 144.The multiplicative inverse of 12 is 1/12 and so the square of the multiplicative inverse of 12 is (1/12)^2 = 1/144.The "square" function is many-to-one and so, strictly speaking, does not have an inverse. However, many ppoeple consider the [principal] square root as the inverse. In that case, the answer is 3.4641, approx.
1/sqrt(10) or, since sqrt(1) = 1, also sqrt(1/10)
Square root is the inverse operation of a square.
The square of the square root of 36. Which can also be stated as the square of 6.