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(sqrtx)^(3)=x(sqrtx)

$(\sqrt{x})^{3}=x(\sqrt{x})$

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Multiply radical expressions

Full solution

Q.

(\sqrt{x})^{3}=x(\sqrt{x})

Multiply square roots: We have $(\sqrt{x})^3$ which means we need to multiply $\sqrt{x}$ by itself three times. $\newline$ $(\sqrt{x})^3 = \sqrt{x} \times \sqrt{x} \times \sqrt{x}$
Multiply result by third sqrt: Now, let's multiply the first two square roots. $\sqrt{x} \times \sqrt{x} = x$
Final simplification: Next, we multiply the result by the third $\sqrt{x}$ . $x \times \sqrt{x} = x^{\frac{3}{2}}$
Final simplification: Next, we multiply the result by the third $\sqrt{x}$ . $x \times \sqrt{x} = x^{\frac{3}{2}}$ So, $(\sqrt{x})^3$ simplifies to $x^{\frac{3}{2}}$ .

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