What is 0.1*sqrt(20000) ?

The solution to 0.1*sqrt(20000) is 10sqrt(2)

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simplify 0.1*sqrt(20000)

simplify

0.1 \cdot 20000

102

Decimal Notation

14.14213 \dots

Solution steps

0.1 20000

Prime factorization of

20000 : 2^{5} \cdot 5^{4}

= 0.1 2^{5} \cdot 5^{4}

Apply exponent rule:

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

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

= 0.1 2^{4} \cdot 2 \cdot 5^{4}

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

= 0.1 2^{4} 2 5^{4}

2^{4} = 4

= 0.1 \cdot 42 5^{4}

5^{4} = 25

= 0.1 \cdot 42 \cdot 25

Multiply the numbers:

4 \cdot 25 = 100

= 0.1 \cdot 1002

Multiply the numbers:

0.1 \cdot 100 = 10

= 102

\frac{3}{2 x} + \frac{5}{x - 2}

x^{2} - 26 x + 169

- 10 \cdot - 24

(- 3 - i)^{12}

\frac{12}{42}