Question

Find the value of a and b, if
V3 - 1/√3+1
= a +by
​

Answer 1

Answer:

a=2 and b=. -1

Step-by-step explanation:

Given:√3-1/√3+1=a+b√3

We find the value of a and b by rationalising the denominator of LHS and the equating

with RHS

Consider,

LHS =√3-1/√3+1 x √3-1/√3-1

=(√3-1) sq./(√3+1) (√3-1)

(√3)sq. +(1) sq.

=3+1-2√3/3-1

=4/2- 2√3/2

=2-√3

Now equating with RHS=a+b√3 we get a=2 b=-1

Therefore, a=2 and b= -1

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