What is sqrt(27a^2+63a) ?

The solution to sqrt(27a^2+63a) is 3sqrt(a(3a+7))

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simplify sqrt(27a^2+63a)

simplify

27 a^{2} + 63 a

3 a (3 a + 7)

Solution steps

27 a^{2} + 63 a

Factor out common term

9 a : 9 a (3 a + 7)

= 9 a (3 a + 7)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

9 a (3 a + 7) = 9 a (3 a + 7)

= 9 a (3 a + 7)

9 = 3

= 3 a (3 a + 7)

- 827 - 3147

s - 3 (s + 6)

6 (- 3 m)^{4}

\frac{5}{4 125}

15 y^{4} + 5 y^{2} - 20 y