What is simplify-sqrt(300) ?

The solution to simplify-sqrt(300) is -10sqrt(3)

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simplify-sqrt(300)

simplify

- 300

- 103

Decimal Notation

- 17.32050 \dots

Solution steps

- 300

Prime factorization of

300 : 2^{2} \cdot 3 \cdot 5^{2}

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

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

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

Apply radical rule:

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

2^{2} = 2

= - 23 5^{2}

Apply radical rule:

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

5^{2} = 5

= - 23 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= - 103

(- i)^{10}

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