What is expand sqrt((1)^2+(2t)^2+(3t^2)^2) ?

The solution to expand sqrt((1)^2+(2t)^2+(3t^2)^2) is sqrt(1+4t^2+9t^4)

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expand sqrt((1)^2+(2t)^2+(3t^2)^2)

expand

(1)^{2} + (2 t)^{2} + (3 t^{2})^{2}

1 + 4 t^{2} + 9 t^{4}

Solution steps

1^{2} + (2 t)^{2} + (3 t^{2})^{2}

Apply rule

1^{a} = 1

1^{2} = 1

= 1 + (2 t)^{2} + (3 t^{2})^{2}

(2 t)^{2} = 2^{2} t^{2}

(3 t^{2})^{2} = 3^{2} t^{4}

= 1 + 2^{2} t^{2} + 3^{2} t^{4}

Refine

= 1 + 4 t^{2} + 9 t^{4}

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What is expand sqrt((1)^2+(2t)^2+(3t^2)^2) ?
The solution to expand sqrt((1)^2+(2t)^2+(3t^2)^2) is sqrt(1+4t^2+9t^4)