Question

√3-1/√3+1 rationalise the denominator​ ... plz ans it clear n nice!!??

Answer 1

Answer:

Your answer is 2 + ✓ 3

Hope It helps..

Answer 2

RATIONALISING THE DENOMINATOR

This is the process of rationalising the denominator of a fraction which is an irrational one by multiplying the additive inverse of the denominator with the denominator and with the numerator.

SO, LET'S SOLVE

The given fraction=√3-1/√3+1

The additive inverse of the denominator=√3-1

By, rationalising the denominator we get,

(√3-1)(√3-1)/(√3+1)(√3-1)

=(√3-1)^2/[(√3)^2-(1)^2]

=(√3)^2-2(√3)(1)+(1)^2/[3-1]. {USING THE FORMULA (a-b)^2=(a)^2-2×a×b+(b)^2 for the numerator and (a)^2-(b)^2 for the denominator}

=3-2√3+1/2

=4-2√3/2

=2(2-√3)/2

=2-√3

THEREFORE,ON RATIONALISING THE GIVEN FRACTION WE GET THE ANSWER AS 2-√3.

HOPE THIS WILL HELP YOU.