Question

Rationalise the denominator and simplify:

7/√7

Answer 1

Explanation:

Given,

7/√7

The denominator is √7.

We know that

Rationalising factor of √a is √a.

Therefore, the rationalising factor of √7 is √7.

On rationalising the denominator them

=> (7/√7) × (√7/√7)

=> 7(√7)/(√7 × 7)

=> 7√7/7.

Hence, the denominator is rationalised.

Answer 2

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`=(7)/( √(7) )\\`

`= (7)/( √(7) ) * ( √(7) )/( √(7) )\\`

`= (7 √(7) )/( √(7) * √(7) )\\`

`= (7 √(7) )/(7)\\`

`(∵ √(a) * √(a) = a)\\`

`= √7`

`\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}`