1.

Evaluate √(5-2√6)+√(10-2√21)

Answer»

Hi ,

1 ) √( 5-2√6 )

= √[ (√3 )² + ( √2 )² - 2 × √3 × √2 ]

= √ ( √3 - √2 )²

= √3 - √2 ---( 1 )

2 ) √[ 10 - 2√21 ]

= √[ ( √7 )² + ( √3 )² - 2 × √7 × √3 ]

= √ ( √7 - √3 )²

= √7 - √3 ---( 2 )

Now ,

√( 5 - 2√6 ) + √( 10 - 2√21 )

= ( 1 ) + ( 2 )

= √3 - √2 + √7 - √3

= √7 - √2

I hope this helps you.

: )


Discussion

No Comment Found

Related InterviewSolutions