Question

Find the value of √8 ×3×√2​

Answer 1

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Explanation:

$\sqrt{8} \times 3 \times \sqrt{2}$

Here ,√8 can be further split into 2×2×2

which can be written as:

Note : Here 2 is occuring three times so paired 2 comes out of the roots and single value 2 remains inside the root.

$= > \sqrt{{\underbrace{2 \times 2 }}\times 2} \times 3 \times \sqrt{2}$

$= > 2 \sqrt{2} \times 3 \times \sqrt{2}$

Concept :

=>when roots are multiply two times its roots gets remove and we obtain a single value which is inside the roots.

$= > \sqrt{2} \times \sqrt{2} \times 2 \times 3$

$= > 2 \times 2 \times 3 = 4 \times 3 = 12$

Thus ,our answer is 12.