What is simplify-5sqrt(45) ?

The solution to simplify-5sqrt(45) is -15sqrt(5)

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simplify-5sqrt(45)

simplify

- 545

- 155

Solution steps

- 545

Prime factorization of

45 : 3^{2} \cdot 5

= - 5 3^{2} \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3^{2} \cdot 5 = 3^{2} 5

= - 5 3^{2} 5

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= - 5 \cdot 35

Multiply the numbers:

- 5 \cdot 3 = - 15

= - 155

7 x^{2} - 2 x + 9 = 0

9 x^{2} - 30 x + 25

2 (2 a + 3) = - 3 (a - 1) + 31

1 - 2 [1 + 3 x - 2 (x + 2) + 3 x] = - 1

(4^{3})^{\frac{1}{2}}