The value of
Question:

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

(a) $(28)^{1 / 2}$

(b) $(56)^{1 / 2}$

(c) $(14)^{1 / 2}$

(d) $(42)^{1 / 2}$

 

Solution:

$7^{\frac{1}{2}} \cdot 8^{\frac{1}{2}}$

$=(7 \times 8)^{\frac{1}{2}} \quad\left[x^{a} \times y^{a}=(x \times y)^{a}\right]$

$=(56)^{\frac{1}{2}}$

Hence, the correct answer is option (b).

 

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