Question

Root 6 into root 8 what is the answer

Answer 1

Answer:

√48=4√3

Step-by-step explanation:

Because √6×√8= √48 =4√3 (6×8=48)

Answer 2

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ \sqrt{6} \times \sqrt{8} }$

EVALUATION

Here the given expression is

$\displaystyle \sf{ \sqrt{6} \times \sqrt{8} }$

We simplify it as below

$\displaystyle \sf{ \sqrt{6} \times \sqrt{8} }$

$\displaystyle \sf{ = \sqrt{6 \times 8} }$

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

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

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

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

$\displaystyle \sf{ = 4 \sqrt{ 3} }$

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