What is sqrt(25000) ?

The solution to sqrt(25000) is 50sqrt(10)

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simplify sqrt(25000)

simplify

25000

5010

Solution steps

25000

Prime factorization of

25000 : 2^{3} \cdot 5^{5}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 5^{4} 2 \cdot 5

5^{4} = 25

= 2 \cdot 25 2 \cdot 5

Multiply the numbers:

2 \cdot 25 = 50

= 50 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 5010

(x - 2)^{2} + (0 + 5)^{2} = 9

\frac{1}{4} x^{4} + x^{2} + 1

1 6^{2} + 3 0^{2} = c^{2}

2 k^{2} + 10 k - 5 = 0

4 - 4 m + m^{2}