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Popular >

simplify sqrt(1944)

Solution

simplify

1944

Solution

186

+1

Decimal Notation

44.09081 \dots

Solution steps

1944

Prime factorization of

1944 : 2^{3} \cdot 3^{5}

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

Apply exponent rule:

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

2^{3} \cdot 3^{5} = 2^{2} \cdot 2 \cdot 3^{4} \cdot 3

= 2^{2} \cdot 2 \cdot 3^{4} \cdot 3

2^{2} \cdot 2 \cdot 3^{4} \cdot 3 = 2^{2} 3^{4} 2 \cdot 3

= 2^{2} 3^{4} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= 2 3^{4} 2 \cdot 3

3^{4} = 9

= 2 \cdot 9 2 \cdot 3

Multiply the numbers:

2 \cdot 9 = 18

= 18 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 186

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Frequently Asked Questions (FAQ)

What is sqrt(1944) ?
The solution to sqrt(1944) is 18sqrt(6)