Question

simplify √√30+√21/√30-√21​

Answer 1

Given : √30+√21/√30-√21​

To Find : Simplify

Step-by-step explanation:

(√30+√21)/(√30-√21​)

=√3( √10+√7)/√3(√10-√7)

= ( √10+√7)/(√10-√7)

Rationalize

=( √10+√7)( √10+√7)/(√10-√7)( √10+√7)

= ( 10 + 7 + 2√70) /(10 - 7)

= ( 17 + 2√70) /3

if its √ ((√30+√21)/(√30-√21​))

√( (√10+√7)²/3)

=  (√10+√7)/√3

= (√30+√21)/3

Learn More:

(a) Rationalize the denominator: 14/ 5√3 − √5 Please Send ...

https://brainly.in/question/5471829

rationalize the denominator of 4root3/5root5 and hence find their ...

https://brainly.in/question/17248397