Question

simplify 4√8+√32-3√2​

Answer 1

Answer:

$4 \times 2\sqrt{2} + 2 \times 2 \sqrt{2} - 3 \sqrt{2 }$

$8 \sqrt{2} + 4 \sqrt{2} - 3 \sqrt{2}$

$8 + 4 - 3 \sqrt{2}$

$9 \sqrt{2}$

Answer 2

Given :  4√8 +√32 -3√2

To Find :  Simplify

Solution:

4√8 +√32 -3√2

8 = 2 * 2  *  2  = 2² * 2

=> √8  = 2√2

32 =2  * 2 * 2 * 2 * 2 = 2² * 2² * 2 = 4² *2

√32 = 4√2

4√8 +√32 -3√2

= 4( 2√2)  + 4√2 - 3√2

= 8√2   + 4√2 - 3√2

= (8 + 4 - 3)√2

= 9√2

4√8 +√32 -3√2 = 9√2

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