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Step-by-step Solution

Solve the equation y=(t/(t+1))^0.5

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Answer

$y=\frac{\sqrt{t}}{\sqrt{t+1}}$

Step-by-step explanation

Problem to solve:

$y=\sqrt{\frac{t}{t+1}}$
1

The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$y=\frac{\sqrt{t}}{\sqrt{t+1}}$

Answer

$y=\frac{\sqrt{t}}{\sqrt{t+1}}$
$y=\sqrt{\frac{t}{t+1}}$

Main topic:

Radical equations and functions

Time to solve it:

~ 0.77 seconds

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