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Popular >

simplify sqrt(50000)

Solution

simplify

50000

Solution

1005

+1

Decimal Notation

223.60679 \dots

Solution steps

50000

Prime factorization of

50000 : 2^{4} \cdot 5^{5}

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

Apply exponent rule:

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

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

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

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

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

2^{4} = 4

= 4 5^{4} 5

5^{4} = 25

= 4 \cdot 255

Multiply the numbers:

4 \cdot 25 = 100

= 1005

Popular Examples

4 \div \frac{1}{5}

expand 7x^2(x^4-3x^3-x^2+2x-5)expand

7 x^{2} (x^{4} - 3 x^{3} - x^{2} + 2 x - 5)

simplify (2x^3+5x-3)-(2x^3-3x^2+4x)simplify

(2 x^{3} + 5 x - 3) - (2 x^{3} - 3 x^{2} + 4 x)

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(x + 6) (x + 8)

expand (3x+1)(x^2+2x-10)expand

(3 x + 1) (x^{2} + 2 x - 10)

Frequently Asked Questions (FAQ)

What is sqrt(50000) ?
The solution to sqrt(50000) is 100sqrt(5)