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Popular >

simplify sqrt(4t^2+4t^4+1)

Solution

simplify

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

Solution

2 t^{2} + 1

Solution steps

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

Factor

4 t^{2} + 4 t^{4} + 1 : (2 t^{2} + 1)^{2}

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

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

= 2 t^{2} + 1

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Frequently Asked Questions (FAQ)

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