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Popular >

simplify sqrt(2000)

Solution

simplify

2000

Solution

205

+1

Decimal Notation

44.72135 \dots

Solution steps

2000

Prime factorization of

2000 : 2^{4} \cdot 5^{3}

= 2^{4} \cdot 5^{3}

Apply exponent rule:

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

2^{4} \cdot 5^{3} = 2^{4} \cdot 5^{2} \cdot 5

= 2^{4} \cdot 5^{2} \cdot 5

2^{4} \cdot 5^{2} \cdot 5 = 2^{4} 5^{2} 5

= 2^{4} 5^{2} 5

2^{4} = 4

= 4 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 4 \cdot 55

Multiply the numbers:

4 \cdot 5 = 20

= 205

Popular Examples

(\frac{6}{7})^{2} + y^{2} = 1

factor 30x-18 factor

30 x - 18

k^{7} + 18 \leq 20

2 x + 8 = x + 25 + 8

simplify sqrt((-10)^2)simplify

(- 10)^{2}

Frequently Asked Questions (FAQ)

What is sqrt(2000) ?
The solution to sqrt(2000) is 20sqrt(5)