What is sqrt(4x^2+9x^4) ?

The solution to sqrt(4x^2+9x^4) is xsqrt(4+9x^2)

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simplify sqrt(4x^2+9x^4)

simplify

4 x^{2} + 9 x^{4}

x 4 + 9 x^{2}

Solution steps

4 x^{2} + 9 x^{4}

Factor out common term

x^{2} : x^{2} (4 + 9 x^{2})

= x^{2} (4 + 9 x^{2})

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{2} (4 + 9 x^{2}) = x^{2} 4 + 9 x^{2}

= x^{2} 4 + 9 x^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= x 4 + 9 x^{2}

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