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Popular >

simplify sqrt(2646)

Solution

simplify

2646

Solution

216

+1

Decimal Notation

51.43928 \dots

Solution steps

2646

Prime factorization of

2646 : 2 \cdot 3^{3} \cdot 7^{2}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

3^{2} = 3

= 3 7^{2} 2 \cdot 3

Apply radical rule:

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

7^{2} = 7

= 3 \cdot 7 2 \cdot 3

Multiply the numbers:

3 \cdot 7 = 21

= 21 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 216

Popular Examples

1 + 2 x = 5 x + 3

3 (0) + y = 6

3 + 1.2 c \geq 13.5

7 - 2 s = 3

simplify (12!)/(4!(12-4)!)simplify

\frac{12 !}{4 ! ( 12 - 4 ) !}

Frequently Asked Questions (FAQ)

What is sqrt(2646) ?
The solution to sqrt(2646) is 21sqrt(6)