Question

√12 x √8 is equal to : (A) 2√6 (B) 3√6 (C) 4√6 (D) 6√6

Answer 1

Answer:

C

2√3×2√2

4√6

Is it clear.??

You have to take out perfect square and then multiply the rest inside the root...

Answer 2

√12 × √8 = 4√6

Given :

The expression √12 × √8

To find :

√12 × √8 is equal to :

(A) 2√6

(B) 3√6

(C) 4√6

(D) 6√6

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is √12 × √8

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ \sqrt{12} \times \sqrt{8} }$

$\displaystyle \sf{ = \sqrt{12 \times 8} }$

$\displaystyle \sf{ = \sqrt{(2 \times 2 \times 3) \times (2 \times 2 \times 2)} }$

$\displaystyle \sf{ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 3} }$

$\displaystyle \sf{ = \sqrt{ {2}^{2} \times {2}^{2} \times 2 \times 3} }$

$\displaystyle \sf{ = (2 \times 2) \sqrt{ 2 \times 3} }$

$\sf = 4 \sqrt{6}$

Hence the correct option is (C) 4√6

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