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Popular >

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

Solution

simplify

4 + t^{2} + \frac{4}{t ^{2}}

Solution

\frac{t ^{2} + 2}{t}

Solution steps

4 + t^{2} + \frac{4}{t ^{2}}

Join

4 + t^{2} + \frac{4}{t ^{2}} : \frac{4 t ^{2} + t ^{4} + 4}{t ^{2}}

= \frac{4 t ^{2} + t ^{4} + 4}{t ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{4 t ^{2} + t ^{4} + 4}{t ^{2}}

Simplify

4 t^{2} + t^{4} + 4 : t^{2} + 2

= \frac{t ^{2} + 2}{t ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

t^{2} = t

= \frac{t ^{2} + 2}{t}

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Frequently Asked Questions (FAQ)

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