Math, asked by jrmanvith3820, 9 months ago

Rationalise a denominator 6/√5+√2

Answers

Answered by aradhanagoswami35122
2

Answer:

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Answered by MissKalliste
1

Answer:

\fbox{\sf 2(\sqrt{5} - \sqrt{2}}

Step-by-step explanation:

= 6/√5 + 2 × √5 - √2/√5 - √2

= 6(√5 - √2)/(√5)² - (√2)²

= 6√5 - 6√2/5 - 2

= 6√5 - 6√2/3

= 6(√5 - √2)/3

3 will be cancelled by 6 giving the result :

= 2(√5 - √2)

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✥ To rationalize the denominator, the denominator and the numerator is multiplied with the term the written in the denominator (with changes signs, like "+" changes to "-" and "-" changes to "+").

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