What is sqrt(75t+100t^2) ?

The solution to sqrt(75t+100t^2) is 5sqrt(t(3+4t))

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simplify sqrt(75t+100t^2)

simplify

75 t + 100 t^{2}

5 t (3 + 4 t)

Solution steps

75 t + 100 t^{2}

Factor out common term

25 t : 25 t (3 + 4 t)

= 25 t (3 + 4 t)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

25 t (3 + 4 t) = 25 t (3 + 4 t)

= 25 t (3 + 4 t)

25 = 5

= 5 t (3 + 4 t)

15 \cdot 1 0^{- 3}

\frac{a ^{2} + 3 a + 2}{a + 1}

6 - 5 [8 - (2 y - 4)]

- 5 \frac{1}{4}

\frac{x}{y} - x