What is sqrt(12000) ?

The solution to sqrt(12000) is 20sqrt(30)

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Popular >

simplify sqrt(12000)

simplify

12000

2030

Decimal Notation

109.54451 \dots

Solution steps

12000

Prime factorization of

12000 : 2^{5} \cdot 3 \cdot 5^{3}

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

Apply exponent rule:

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

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

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

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

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

2^{4} = 4

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

Apply radical rule:

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

5^{2} = 5

= 4 \cdot 5 2 \cdot 3 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 20 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 2030

a + 3 \times a - 1

1 - 16 x^{2} y^{2}

(x + 1)^{3} - x^{3}

\frac{0.5}{2}

\frac{cos ( x )}{1}