Question

Simplify
1)√10+√15/√2

Answer 1

ANSWER:

• Value of above expression is:
• $= \dfrac{2 \sqrt{5} + \sqrt{30} }{2} \:$

GIVEN:

• (√10+√15)/√2

TO FIND

• Value of above expression

SOLUTION:

$= \dfrac{ \sqrt{10} + \sqrt{15} }{ \sqrt{2} } \\ = \frac{ \sqrt{10} + \sqrt{15} }{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{ \sqrt{2}( \sqrt{10} + \sqrt{15}) }{ \sqrt{2} \times \sqrt{2} } \\ = \frac{ \sqrt{20} + \sqrt{30} }{2} \\ = \dfrac{2 \sqrt{5} + \sqrt{30} }{2}$

Value of above expression is:

$= \dfrac{2 \sqrt{5} + \sqrt{30} }{2} \:$

NOTE:

• In rationalization we have to multiply with a number such that the root from the denominator get remove.