Question

simplify this : √48-√32 /√12-√8

Answer 1

Given :  √48-√32 /√12-√8

To find : Simplify

Solution:

(√48-√32 )/ (√12-√8)

√48 = √(2 * 2 * 2 * 2 * 3 ) = 2 * 2 √3  = 4√3

√32 = √(2 * 2 * 2  * 2 * 2) = 2 * 2 √2  = 4√2

√12 = √(2 * 2 * 3) = 2√3

√8 = √(2 * 2  * 2)  = 2√2

=  (4√3 - 4√2 )/ (2√3 - 2√2)

= 4(√3 - √2)/2(√3 - √2)

= 4/2

= 2

(√48-√32 )/ (√12-√8)  = 2

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