√(7) multiplicative inverse (reciprocal)​

Question

`√(7)`
multiplicative inverse (reciprocal)​

Answer 1

Answer:
`(√(7))/(7)`

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Step-by-step 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.

`(1)/(√(7))\\\\\\(1*√(7))/(√(7)*√(7))\\\\\\(√(7))/((√(7))^2)\\\\\\(√(7))/(7)\\\\`

In short,
`(1)/(√(7))=(√(7))/(7)`