<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B7%7D%20" id="TexFormula1" title=" \sqrt{7} " alt=" \sqrt{7} " align="absmiddle" c

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Schach [20]

2 years ago

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

Mathematics

1 answer:

Radda [10]2 years ago

4 0

Answer: $\frac{\sqrt{7}}{7}$

========================================================

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

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