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Popular >

simplify sqrt(\sqrt{x*x)}

Solution

simplify

x \cdot x

Solution

x

Solution steps

xx

Apply radical rule:

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

= ((xx)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (xx)^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (xx)^{\frac{1}{4}}

Simplify

xx : x^{2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

x^{2} = x^{0.5 \cdot 4} = (x)^{4}

Apply radical rule:

assuming

a \geq 0

= x

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{x*x)} ?
The solution to sqrt(\sqrt{x*x)} is sqrt(x)