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Popular >

simplify sqrt(x^{1.5)}

Solution

simplify

x^{1.5}

Solution

x^{0.75}

Solution steps

x^{1.5}

Apply radical rule:

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

= (x^{1.5})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{1.5 \cdot \frac{1}{2}}

1.5 \cdot \frac{1}{2} = 0.75

= x^{0.75}

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Frequently Asked Questions (FAQ)

What is sqrt(x^{1.5)} ?
The solution to sqrt(x^{1.5)} is x^{0.75}