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Popular >

simplify sqrt(1224)

Solution

simplify

1224

Solution

634

+1

Decimal Notation

34.98571 \dots

Solution steps

1224

Prime factorization of

1224 : 2^{3} \cdot 3^{2} \cdot 17

= 2^{3} \cdot 3^{2} \cdot 17

Apply exponent rule:

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

2^{3} \cdot 3^{2} \cdot 17 = 2^{2} \cdot 2 \cdot 3^{2} \cdot 17

= 2^{2} \cdot 2 \cdot 3^{2} \cdot 17

2^{2} \cdot 2 \cdot 3^{2} \cdot 17 = 2^{2} 3^{2} 2 \cdot 17

= 2^{2} 3^{2} 2 \cdot 17

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 17

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 17

Multiply the numbers:

2 \cdot 3 = 6

= 6 2 \cdot 17

Multiply the numbers:

2 \cdot 17 = 34

= 634

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Frequently Asked Questions (FAQ)

What is sqrt(1224) ?
The solution to sqrt(1224) is 6sqrt(34)