Question

Simplify 2/(√5+√2) + 3/(√5 - √2) ​

Answer 1

Answer:

2(√5-√2)+3(√5+√2)

2√5-2√2+3√5+3√2

5√5+√2

Answer 2

Answer:

5√5+√2/3

Que : 2/(√5+√2) + 3/(√5 - √2)

Solution :

= 2/(√5+√2) + 3/(√5 - √2)

= 2(√5-√2)/3 + √5+√2

Rationalise the denominator

= 2√5-2√2/3 + √5+√2

= 2√5-2√2 + √5+√2

= 2√5-2√2+3√5+3√2/3

= 2√5-2√2+3√5+3√2/3

Collect all like terms

= 5√5-2√2+3√2/3

= 5√5+√2/3

•°• 5√5+√2/3 is the answer.