Question

rationalise the denominator root 2 by root 5 + root 3​

Answer 1

Step-by-step explanation:

√2/√5 + √3

rationalising by multiplying √5 - √3 in both numerator and denominator, we get,

  (√2/√5 + √3) (√5 - √3/√5 - √3)

= ( √10 - √6 ) / [ ( √5 + √3 ) ( √5 - √3 ) ] using a²-b² = (a+b)(a-b) in         demominator

=( √10 - √6 ) / √5² - √3²

= ( √10 - √6 ) / 2