What is simplify-2sqrt(180) ?

The solution to simplify-2sqrt(180) is -12sqrt(5)

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simplify-2sqrt(180)

simplify

- 2180

- 125

Decimal Notation

- 26.83281 \dots

Solution steps

- 2180

Prime factorization of

180 : 2^{2} \cdot 3^{2} \cdot 5

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= - 2 \cdot 2 \cdot 35

Multiply the numbers:

2 \cdot 3 = 6

= - 2 \cdot 65

Multiply the numbers:

- 2 \cdot 6 = - 12

= - 125

(- 2) - (- 6)

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