Question

II. Find the square root of 11+2√30​

Answer 1

ANSWER

(5–√+6–√)

STEP BY STEP EXPLAINATION

⇒√=11+230√

⇒Y√=5+6+25×6−√

⇒Y−−√=(5–√)2+(6–√)2+2(5–√)(6–√)

⇒Y−−√=(5–√+6–√)√2

⇒Y−−√=(5–√+6–√)12×2

⇒Y−−√=(5–√+6–√)

MAKE THE NOTE THAT

Whenever we have to find the square root of any number in the form a+b√

Whenever we have to find the square root of any number in the form a+b√, try to split a into two parts such the question can be reduce to (c√+d−−√)

Whenever we have to find the square root of any number in the form a+b√, try to split a into two parts such the question can be reduce to (c√+d−−√) form. Always have such a kind approach in solving such questions.