What is (sqrt(1200))/(sqrt(4)) ?

The solution to (sqrt(1200))/(sqrt(4)) is 10sqrt(3)

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simplify (sqrt(1200))/(sqrt(4))

simplify

\frac{1200}{4}

103

Decimal Notation

17.32050 \dots

Solution steps

\frac{1200}{4}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{1200}{4} = \frac{1200}{4}

= \frac{1200}{4}

Divide the numbers:

\frac{1200}{4} = 300

= 300

Prime factorization of

300 : 2^{2} \cdot 3 \cdot 5^{2}

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

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

= 2^{2} 3 5^{2}

Apply radical rule:

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

2^{2} = 2

= 23 5^{2}

Apply radical rule:

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

5^{2} = 5

= 23 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 103

(5 + 3) (5 - 3)

z^{2} - 5 ∣ z ∣ + 6 = 0

\frac{3}{2} 8

(\frac{5}{3} - 1) (\frac{7}{2} - 2)

6 4^{\frac{1}{6}}

What is (sqrt(1200))/(sqrt(4)) ?
The solution to (sqrt(1200))/(sqrt(4)) is 10sqrt(3)