Question

rationalise the denominator of the following 1/3+root2

Answer 1

Heya!!
Here is your answer
Rationalise:-
$1 \div 3 + \sqrt{2}$
Numerator is 1.
But the denominator is 3+√2 which is an irrational number.
So we have to rationalise the denominator.
The rationalising factor or conjugate surd of 3+√2 is 3-√2.
=>Which means we have to multiply the numerator and denominator by 3-√2 to rationalise the denominator of this number.
1/3+√2×3-√2/3-√2
we will use a²- b²=(a+b)(a-b)
3-√2/9-2
3-√2/7(Answer)

Hope it helps you.

Answer 2

Answer:

1/3+√2 * 3-√2/3-√2 = 3-√2/ 9-2 = 3-√2/7 answer