What is (100)/(2sqrt(5)) ?

The solution to (100)/(2sqrt(5)) is 10sqrt(5)

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simplify (100)/(2sqrt(5))

simplify

\frac{100}{2 5}

105

Solution steps

\frac{100}{2 5}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 50}{2 5}

Cancel the common factor:

2

= \frac{50}{5}

Factor the number:

50 = 5 \cdot 10

= \frac{5 \cdot 10}{5}

Apply radical rule:

a = a a

5 = 55

= \frac{5 5 \cdot 10}{5}

Cancel the common factor:

5

= 5 \cdot 10

= 105

- 100 - 2 - 16

x (x + 1) (x - 1)

5 + \frac{a + 4}{a - 4}

3 x^{2} - 9

x (x^{2} + 1)