What is simplify-sqrt(500) ?

The solution to simplify-sqrt(500) is -10sqrt(5)

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simplify-sqrt(500)

simplify

- 500

- 105

Decimal Notation

- 22.36067 \dots

Solution steps

- 500

Prime factorization of

500 : 2^{2} \cdot 5^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= - 2 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= - 2 \cdot 55

Multiply the numbers:

2 \cdot 5 = 10

= - 105

5 24 x^{3} y^{7}

(- 3 x^{5} y) (- 4 x^{9} y^{2})

\frac{2}{2 2}

(x - 4)^{2} + 1

- 100 - - 48 - 64 - - 192