What is sqrt(36x^2+36x^4) ?

The solution to sqrt(36x^2+36x^4) is 6xsqrt(1+x^2)

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simplify sqrt(36x^2+36x^4)

simplify

36 x^{2} + 36 x^{4}

6 x 1 + x^{2}

Solution steps

36 x^{2} + 36 x^{4}

Factor out common term

36 x^{2} : 36 x^{2} (1 + x^{2})

= 36 x^{2} (1 + x^{2})

36 x^{2} (1 + x^{2}) = 36 x^{2} 1 + x^{2}

= 36 x^{2} 1 + x^{2}

36 = 6

= 6 x^{2} 1 + x^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 6 x 1 + x^{2}

\frac{x}{3} - \frac{2 x}{3}

\frac{y ^{- 4}}{y}

x^{3} \times (- 1)

6 - \frac{5}{4}

\frac{9}{5} \div \frac{5}{2}