Question 174

If $$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$ then the value of x is

Solution

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$$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$.

here we know that $$\sqrt{b} \times \sqrt{b}$$ = b

and $$\sqrt{a^3} = a\sqrt{a}$$

hence,$$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$ = $$a^2\sqrt b\sqrt[4]{a}$$

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