What is (sqrt(2646))/(sqrt(9)) ?

The solution to (sqrt(2646))/(sqrt(9)) is 7sqrt(6)

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simplify (sqrt(2646))/(sqrt(9))

simplify

\frac{2646}{9}

76

Decimal Notation

17.14642 \dots

Solution steps

\frac{2646}{9}

Apply radical rule:

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

\frac{2646}{9} = \frac{2646}{9}

= \frac{2646}{9}

Divide the numbers:

\frac{2646}{9} = 294

= 294

Prime factorization of

294 : 2 \cdot 3 \cdot 7^{2}

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

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 2 \cdot 3 7^{2}

Apply radical rule:

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

7^{2} = 7

= 2 \cdot 3 \cdot 7

Multiply the numbers:

2 \cdot 3 = 6

= 6 \cdot 7

= 76

\frac{55}{66}

2 + 2 - 52

a (a + 1)

3 x^{2} + 63 x - 66

\frac{1}{3} + 1

What is (sqrt(2646))/(sqrt(9)) ?
The solution to (sqrt(2646))/(sqrt(9)) is 7sqrt(6)