What is simplify-3sqrt(150) ?

The solution to simplify-3sqrt(150) is -15sqrt(6)

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simplify-3sqrt(150)

simplify

- 3150

- 156

Decimal Notation

- 36.74234 \dots

Solution steps

- 3150

Prime factorization of

150 : 2 \cdot 3 \cdot 5^{2}

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

Apply radical rule:

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

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

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

Apply radical rule:

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

5^{2} = 5

= - 3 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 = 6

= - 36 \cdot 5

Multiply the numbers:

- 3 \cdot 5 = - 15

= - 156

252

918

(5 + 2 i) (4 - 3 i)

1 - \frac{1}{2.27}