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Popular >

simplify sqrt(x^{2+x^6)}

Solution

simplify

x^{2 + x^{6}}

Solution

x^{\frac{x ^{6} + 2}{2}}

Solution steps

x^{2 + x^{6}}

Apply radical rule:

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

= (x^{2 + x^{6}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{(2 + x^{6}) \frac{1}{2}}

Simplify

(2 + x^{6}) \frac{1}{2} : \frac{2 + x ^{6}}{2}

= x^{\frac{2 + x ^{6}}{2}}

= x^{\frac{x ^{6} + 2}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(x^{2+x^6)} ?
The solution to sqrt(x^{2+x^6)} is x^{(x^6+2)/2}