Question

rationalise the denominator:- 1÷(√5)+(√2)​

Answer 1

Answer:

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Step-by-step explanation:

1/√5 + √2

1( √5 - √2 )/ ( √5 + √2 )×( √5 - √2 )

√5 - √2/ 5 - 2

√5 - √2/ 3

Now subtract √5 - √2

√5 - √2 - √5 - √2 / 3

3√5 - 3√2 - √5 + √2 / 3

2√5 - 2√2 / 3 ( Ans )

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Answer 2

Answer:

Step-by-step explanation:

1/√5+√2

Denominator = √5+√2

So, multiply with √5-√2 both numerator and denominator.

1/√5+√2 × √5-√2/√5-√2

= 1 (√5-√2)/(√5+√2)(√5-√2)

= √5-√2/(√5)²-(√2 )²            (a+b)(a-b)=a²-b²

= √5-√2/5-2

= √5-√2/3