What is simplify-3sqrt((3a)^2+9) ?

The solution to simplify-3sqrt((3a)^2+9) is -9sqrt(a^2+1)

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simplify-3sqrt((3a)^2+9)

simplify

- 3 (3 a)^{2} + 9

- 9 a^{2} + 1

Solution steps

- 3 (3 a)^{2} + 9

Simplify

(3 a)^{2} : 9 a^{2}

= - 3 9 a^{2} + 9

Factor out common term

9 : 9 (a^{2} + 1)

= - 3 9 (a^{2} + 1)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

9 (a^{2} + 1) = 9 a^{2} + 1

= - 39 a^{2} + 1

9 = 3

= - 3 \cdot 3 a^{2} + 1

Multiply the numbers:

- 3 \cdot 3 = - 9

= - 9 a^{2} + 1

16 y^{2} - 1

\frac{8 x}{8}

3 n^{5} \cdot 5 n^{10}

- x - 6 x

∣ - 1 ∣ - 4

What is simplify-3sqrt((3a)^2+9) ?
The solution to simplify-3sqrt((3a)^2+9) is -9sqrt(a^2+1)