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

The solution to sqrt(4t^2+9t^4) is tsqrt(4+9t^2)

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

simplify

4 t^{2} + 9 t^{4}

t 4 + 9 t^{2}

Solution steps

4 t^{2} + 9 t^{4}

Factor out common term

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

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

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

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

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

t^{2} = t

= t 4 + 9 t^{2}

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