Question

please solve step by step:-
√8÷√5 - √3 = x +√6.
find value of x.

Answer 1

hi friend,

→√8/√5-√3

multiplying and dividing with √5+√3 ,we get

→√8(√5+√3)/2

→2√2(√5+√3)/2

→√2(√5+√3)

→√10+√6

by comparing

x=√10


I hope this will help u ;)

Answer 2

√8/(√5-√3)

Here we have to rationalise denominator,

Rationalising factor=(√5+√3)

So, multiply and divide √5+√3

√8/(√5-√3)×(√5+√3)/(√5+√3)

=√8(√5+√3)/(√5-√3)(√5+√3)

=√40+√24/(√5²-√3²)

=√40+√24/(5-3)

=(√4×10+√4×6)/2

=(2√10+2√6)/2

=2(√10+√6)/2

=√10+√6

Compare √10+√6 and x+√6,

We get x=√10

Hope it helps