Question

Rationalize the above question

Full Solutions answer will get brainliested ❣️ ​

Answer 1

Step-by-step explanation:

Given that:-

4√3+5√2/4√3+3√2

What to do:-

To rationalise the denominator.

Solution:-

We have,

(4√3 +5√2)/(4√3+3√2)

Multiplying the numerator and denominator by 4√3-3√2

We get,

=> (4√3 +5√2) (4√3+3√2) / (4√3-3√2) (4√3-3√2)

⬤ Using Algebraic Identity:

(a + b)(a - b) = a^2 - b^2 to the denominator

We get,

=> (4√3)^2 +4√3(5√2 -3√2 -5√2*3√2) / [(4√3)^2 -3√2)^2 ]

=> (48+8√6 -30) / (48- 18)

=> (18 + 8√6)/ 30

=> (9+4√6)/ 15

Hence the denominator is rationalised.

Answer:-

(9+4√6)/ 15

I hope it's help with...☺