Math, asked by vishnurajck9b, 9 months ago

rationalise the denominator 1 / root 3 + root 2 ​

Answers

Answered by Tiya8093722
4

Step-by-step explanation:

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Answered by Salmonpanna2022
2

Step-by-step explanation:

Given:

1/(√3 + √2)

To find:

Rationalising the denominator

Solution:

1(√3 + √2)

The denominator is 3 + 2

We know that

Rationalising factor of a + b = a - b.

Therefore, the rationalising factor of 3 + 2 = 3 - 2.

On rationalising the denominator them

→ [1/(3 + √2)] × [(√3 - √2)/(√3 - √2)]

→ [1(√3 - √2)]/[(√3 + √2)(√3 - √2)]

since, (a+b)(a-b) = a^2 - b^2

where, a = 3

and b = 2.

→ [1(√3 - √2)]/[(√3)^2 - (√2)^2]

→ [1(√3 - √2)]/(3 - 2)

→ [1(√3 - √2)]/1

→ 1(√3 - √2)

→ √3 - √2 Ans .

Hence, the denominator is rationalised.

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