What is (sqrt(1944))/(sqrt(9)) ?

The solution to (sqrt(1944))/(sqrt(9)) is 6sqrt(6)

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simplify (sqrt(1944))/(sqrt(9))

simplify

\frac{1944}{9}

66

Decimal

14.69693 \dots

Solution steps

\frac{1944}{9}

Apply radical rule:

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

\frac{1944}{9} = \frac{1944}{9}

= \frac{1944}{9}

Divide the numbers:

\frac{1944}{9} = 216

= 216

Prime factorization of

216 : 2^{3} \cdot 3^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 66

\frac{112}{16}

5 (x - 3)^{2}

\frac{21}{48}

4 m^{2} + 24 m + 36

4 - 4 (1 - a) + (1 - a)^{2}

What is (sqrt(1944))/(sqrt(9)) ?
The solution to (sqrt(1944))/(sqrt(9)) is 6sqrt(6)