What is sqrt(16000) ?

The solution to sqrt(16000) is 40sqrt(10)

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simplify sqrt(16000)

simplify

16000

4010

Decimal Notation

126.49110 \dots

Solution steps

16000

Prime factorization of

16000 : 2^{7} \cdot 5^{3}

= 2^{7} \cdot 5^{3}

Apply exponent rule:

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

2^{7} \cdot 5^{3} = 2^{6} \cdot 2 \cdot 5^{2} \cdot 5

= 2^{6} \cdot 2 \cdot 5^{2} \cdot 5

2^{6} \cdot 2 \cdot 5^{2} \cdot 5 = 2^{6} 5^{2} 2 \cdot 5

= 2^{6} 5^{2} 2 \cdot 5

2^{6} = 8

= 8 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 8 \cdot 5 2 \cdot 5

Multiply the numbers:

8 \cdot 5 = 40

= 40 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 4010

2 x + 4 (5 x - 3) > 5 (4 x + 4)

\frac{1}{2} (2)^{3}

\frac{10}{1 0 ^{\frac{2}{5}}}

\frac{1 8 ^{6} p ^{3} q ^{2}}{21 p q ^{6}}

2 x + 17 < - 4 x - 25