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Popular >

simplify sqrt(x)*x^{1/2}

Solution

simplify

x \cdot x^{\frac{1}{2}}

Solution

x

Solution steps

x x^{\frac{1}{2}}

Apply radical rule:

a = a^{\frac{1}{2}}

x = x^{\frac{1}{2}}

= x^{\frac{1}{2}} x^{\frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{1}{2}} x^{\frac{1}{2}} = x^{\frac{1}{2} + \frac{1}{2}}

= x^{\frac{1}{2} + \frac{1}{2}}

\frac{1}{2} + \frac{1}{2} = 1

= x^{1}

Apply exponent rule:

a^{1} = a

= x

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Frequently Asked Questions (FAQ)

What is sqrt(x)*x^{1/2} ?
The solution to sqrt(x)*x^{1/2} is x