Question

(2√6-√5)/3√5-2√6=? What will be the answer by rationalising the denominator

Answer 1

Step-by-step explanation:

this is an answer please follow me

Answer 2

Given:

(2√6-√5)/3√5-2√6

To Find:

Rationalise the denominator

Solution:  

''When the denominator of an expression contains a term with a square root (or a number beneath a radical sign), rationalizing the denominator is the process of transforming it to an equivalent expression with a rational denominator.''

In the given question we have to rationalize the denominator. So we will multiply both numerator and denominator by (3√5+2√6)

⇒(2√6-√5)/3√5-2√6

⇒(2√6-√5)((3√5+2√6))/(3√5-2√6)((3√5+2√6))

⇒(2√6-√5)((3√5+2√6))/(3√5)²-(2√6)²      [∵(a+b)(a-b) = a² - b²]

⇒((2√6)(3√5) + ((2√6)² -(√5)(3√5) - (√5)(2√6))/(3√5)²-(2√6)²

⇒6√30+24-15-2√30)/45-24

⇒(4√30+9)/21    

Hence, the answer is (4√30+9)/21