Math, asked by Anonymous, 6 months ago

simplify √√30+√21/√30-√21​

Answers

Answered by amitnrw
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

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