The value of 7^ 1 2 8^ 1 2 is - Vidyadip

MCQ

The value of $7^{\frac{1}{2}} \cdot 8^{\frac{1}{2}}$ is

A
$(28)^{1 / 2}$
✓
$(56)^{1 / 2}$
C
$(14)^{1 / 2}$
D
$(42)^{1 / 2}$

✓

Answer

Correct option: B.

$(56)^{1 / 2}$

$=7^{\frac{1}{2}} \cdot 8^{\frac{1}{2}}$
$=(7 \cdot 8)^{\frac{1}{2}}$
$=(56)^{1 / 2}$

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