Question

Rationalize the denominator root 10 / 5 root 2 + 3 root 5​

Answer 1

Step-by-step explanation:

according to asked question,

we have to rationalise,

√10 - √5/ √2

multiplying both numerator and denominator by √2

√2(√10 - √5)/ √2 × √2

√20 - √10/ 2

2√5 - √10/ 2

Thus,

answer is 2√5 - √10/2.

Hope, this helps

Answer 2

Answer:

2√5 - 3√2

Step-by-step explanation:

√10/ 5√2 + 3√5

=> [√10 (5√2 - 3√5)] ÷ (5√2 + 3√5)(5√2 - 3√5)

=> [√10(5√2 - 3√5)] ÷ (5√2)² - (3√5)²

=> [√10(5√2 - 3√5)] ÷ 50 - 45

=> [ 5√20 - 3√50 ] ÷ 5

=> [ 10√5 - 15√2 ] ÷ 5

=> (10√5)/5 - (15√2)/5

=> 2√5 - 3√2