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Popular >

simplify 2sqrt(250)

Solution

simplify

2250

Solution

1010

+1

Decimal Notation

31.62277 \dots

Solution steps

2250

Prime factorization of

250 : 2 \cdot 5^{3}

= 2 2 \cdot 5^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 2 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 1010

Popular Examples

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26 \times 4

factor x^4-7x^3+19x^2-23x+10 factor

x^{4} - 7 x^{3} + 19 x^{2} - 23 x + 10

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\frac{2}{3} \times (- 2)

0 \div \frac{1}{2}

simplify (sqrt(5))/(sqrt(5)+\sqrt{3)}simplify

\frac{5}{5 + 3}

Frequently Asked Questions (FAQ)

What is 2sqrt(250) ?
The solution to 2sqrt(250) is 10sqrt(10)