Question

(√10 - √3) (√10 - √3) = _______
(a) 0
(b) 13 - 2√30
(c) 7 - 2√30
(d) 7 + 2√30

Answer 1

answer of this question is (d)

Answer 2

Hi ,

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We know the algebraic identity :

( a - b )² = a² - 2ab + b²

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Here ,

( √10 - √3 )( √10 - √3 )

= ( √10 - √3 )²

= ( √10 )² - 2 × ( √10 )( √3 ) + ( √3 )²

= 10 - 2√30+ 3

= 13 - 2√30 [ an irrational number ]

Therefore ,

Option ( b ) is correct .

I hope this helps you.

: )