Question

Simplify the following by rationalizing the denominator:-​

Answer 1

Answer:

2(√6 - √7)

Step-by-step explanation:

1 / (√6 + √5) * (√6 - √5 / √6 - √5) = (√6 - √5) / 1 = √6 - √5  ⇒ 1

2 / (√5 + √7) * (√5 - √7 / √5 - √7) = 2(√5 - √7) / -2 = √7 - √5  ⇒ 2

1 / (√7 + √6) * (√7 - √6 / √7 - √6) = (√7 - √6) / 1  = √7 - √6  ⇒ 3

Now, 1-2-3:

√6 - √5 -(√7 - √5) -(√7 - √6)

√6 - √5 -√7 +√5 -√7 +√6

2√6 - 2√7

2(√6 - √7)