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Popular >

simplify sqrt(5000)

Solution

simplify

5000

Solution

502

+1

Decimal Notation

70.71067 \dots

Solution steps

5000

Prime factorization of

5000 : 2^{3} \cdot 5^{4}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 22 5^{4}

5^{4} = 25

= 22 \cdot 25

Multiply the numbers:

2 \cdot 25 = 50

= 502

Popular Examples

3 x = - 9 - 4 x^{2}

simplify 9*36 simplify

9 \cdot 36

factor 50u^2vw-162v^3w factor

50 u^{2} v w - 162 v^{3} w

\frac{1}{2} X \leq - 2

simplify 8-(-6)simplify

8 - (- 6)

Frequently Asked Questions (FAQ)

What is sqrt(5000) ?
The solution to sqrt(5000) is 50sqrt(2)