Question

(√6 +√3)²Simplify the expressions

Answer 1

Hey there!!

( a + b )² = a² + b² + 2ab

( √6 + √3 )² = ( √6 )² + ( √3 )² + ( 2 ) ( √6 ) ( √3 )

⇒ 6 + 3 + 2√18

9 + 2√18

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Answer 2

Hi ,

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We know the algebraic identity :

( a + b )² = a² + b² + 2ab

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Here ,

a = √6 , b = √3 ,

Now ,

( √6 + √3 )²

= (√6)² + (√3)² + 2 × √6 × √3

= 6 + 3 + 2√18

= 9 + 2√ (3×3×2)

= 9 + 6√2

I hope this helps you.

: )