Question

√48+√32/√27-√18 rationalise the denominator and simplify​

Answer 1

Answer:

Step-by-step explanation:

Given  

√48+√32/√27-√18 rationalise the denominator and simplify

We need to rationalise the denominator.

So given  

√16 x 3 + √2 x 16 / √3 x 9 - √2 x 9

4√3 + 4√2 / 3√3 - 3√2

4(√3 +√2) / 3(√3 - √2)

So 4/3 (√3 +√2) / (√3 - √2)

Now rationalising the denominator we get

4/3  (√3 +√2) / (√3 - √2) x  (√3 +√2) / (√3 + √2)

So 4/3 (√3 +√2)^2 / 3 – 2

4/3 (3 + 2 + 2√6)

4/3 (5 + 2√6)