What is simplify-sqrt(600) ?

The solution to simplify-sqrt(600) is -10sqrt(6)

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Simplify - square root of 600

simplify

- 600

- 106

Decimal Notation

- 24.49489 \dots

Solution steps

- 600

Prime factorization of

600 : 2^{3} \cdot 3 \cdot 5^{2}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

5^{2} = 5

= - 2 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= - 10 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 106

x^{2} = 8 x

x^{2} - 14 x = - 49

x, 3^{x} = 11

- 12/4

\frac{( 8 x )}{x}