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Popular >

simplify sqrt(3e^{2t)}

Solution

simplify

3 e^{2 t}

Solution

3 e^{t}

Solution steps

3 e^{2 t}

Apply radical rule:

n ab = n a n b,

assuming

a \geq 0, b \geq 0

= 3 e^{2 t}

Apply radical rule:

n a^{m} = a^{\frac{m}{n}},

assuming

a \geq 0

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

= 3 e^{\frac{2 t}{2}}

Divide the numbers:

\frac{2}{2} = 1

= 3 e^{t}

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Frequently Asked Questions (FAQ)

What is sqrt(3e^{2t)} ?
The solution to sqrt(3e^{2t)} is sqrt(3)e^t