What is simplify-sqrt(120) ?

The solution to simplify-sqrt(120) is -2sqrt(30)

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simplify-sqrt(120)

simplify

- 120

- 230

Decimal Notation

- 10.95445 \dots

Solution steps

- 120

Prime factorization of

120 : 2^{3} \cdot 3 \cdot 5

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

= - 2 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= - 230

- 180

7 (- 10 x^{2} + 7 x - 9)

\frac{7}{5 - 2}

(- s^{2} - 3) - (2 s^{2} + 10 s)

3 (7 r^{10} - 4 r^{9} - 5 r^{10})