Question

evaluate (a). √8+√32-6√2


Please give step by step explanation.... ​

Answer 1

Sol: √8 +4√32-6√2

= √(2 x 2 x 2) 4√( 2x2x2x2x2) - +

6√2

2.00 V 491 66%

= √( 4 x 2) + 4√( 16 x 2) - 6√2

We have √4 = 2 and √16 = 4.

Now,

= 2√2 + 4 x 4 √2-6√2

= 2√2 + 16√2-6√2

= √2 (2+166)

= √2 (18 - 6 )

= √2 x 12

= 12√2.Ans.