Question

Rationalise the denominator of

$1 \div \sqrt{2} + \sqrt{5}$
1/√2+√5

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Answer 1

Answer:

1/√2+√5.

Rationalising denominator of √2+√5 is √2-√5.

Multiply numerator & denominator by √2-√5.

1/√2+√5×√2-√5/√2-√5.

√2-√5/(√2)²-(√5)². (Because (a+b)×(a-b)=a²-b² where a=√2 & b=√5).

√2-√5/2-5. (Because √ & ² will cancel).

√2-√5/-3. (Because +×-=- & largest number is important).

(or).

-√2-√5/3. (Because +÷-=-).

I think this is your answer.