Question

Evaluate :
1.(8+√2) (8-√2)
2.√3(3+√2)
3.(√5+√6)²
PlZ fast .​

Answer 1

Hey!

1. (8+√2)(8-√2)

=> 8^2 - (√2)^2

[by identity (a-b)(a+b) = a^2-b^2]

=>64-2

=>62

2. 3√3+√6

3.(√5)^2 + (√6)^2 + 2√5√6

[by identity (a+b)^2 = a^2+b^2 = 2ab]

=>5+6+2√10

=>11+2√10

Cheers!

Answer 2

Solution :-

1.) (8+ √2)(8-√2)

=} (8)² - (√2)² [ (a+b)(a-b) = (a)² - (b)²

=} 64 - 2 =} 2

2.) √3(3+√2)

=} 3√3 + √6

3.) (√5 + √6)²

=} (√5)² + (√6)² + 2 x √5 x √6 [ (a+b)² = a² + b² + 2ab

=} 5 + 6 + 2√30

=} 11 + 2√30

Hope it helped...