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Popular >

simplify sqrt(2400)

Solution

simplify

2400

Solution

206

+1

Decimal Notation

48.98979 \dots

Solution steps

2400

Prime factorization of

2400 : 2^{5} \cdot 3 \cdot 5^{2}

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

Apply exponent rule:

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

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

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

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

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

2^{4} = 4

= 4 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 4 2 \cdot 3 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 20 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 206

Popular Examples

simplify 3/4+m/8 simplify

\frac{3}{4} + \frac{m}{8}

simplify 1/6-7/18+5/9 simplify

\frac{1}{6} - \frac{7}{18} + \frac{5}{9}

3 t^{2} - 16 t + 26 > 0

factor a^2-c^2 factor

a^{2} - c^{2}

\frac{h}{2} + 3.3 = 1.8

Frequently Asked Questions (FAQ)

What is sqrt(2400) ?
The solution to sqrt(2400) is 20sqrt(6)