Question

lass="latex-formula">
multiplicative inverse (reciprocal)​

Answer 1

Answer:  $\frac{\sqrt{7}}{7}$

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Explanation:

The reciprocal of x is 1/x where x is nonzero. Multiplying x with 1/x leads to 1. For example, the numbers 9 and 1/9 are multiplicative inverses of each other.

We'll stick 1 over the given square root expression. Then follow these steps to rationalize the denominator.

$\frac{1}{\sqrt{7}}\\\\\\\frac{1*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\\\frac{\sqrt{7}}{(\sqrt{7})^2}\\\\\\\frac{\sqrt{7}}{7}$

In short, $\frac{1}{\sqrt{7}}=\frac{\sqrt{7}}{7}$