What is simplify-sqrt(270) ?

The solution to simplify-sqrt(270) is -3sqrt(30)

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simplify-sqrt(270)

simplify

- 270

- 330

Decimal Notation

- 16.43167 \dots

Solution steps

- 270

Prime factorization of

270 : 2 \cdot 3^{3} \cdot 5

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= - 3 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= - 330

(5 x + 9)^{2}

\frac{125}{10}

- 1 (3)

7 x^{2} - 7

- 1 - 2 i