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Popular >

simplify sqrt(1184)

Solution

simplify

1184

Solution

474

+1

Decimal Notation

34.40930 \dots

Solution steps

1184

Prime factorization of

1184 : 2^{5} \cdot 37

= 2^{5} \cdot 37

Apply exponent rule:

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

2^{5} \cdot 37 = 2^{4} \cdot 2 \cdot 37

= 2^{4} \cdot 2 \cdot 37

Apply radical rule:

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

2^{4} \cdot 2 \cdot 37 = 2^{4} 2 \cdot 37

= 2^{4} 2 \cdot 37

2^{4} = 4

= 4 2 \cdot 37

Multiply the numbers:

2 \cdot 37 = 74

= 474

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Frequently Asked Questions (FAQ)

What is sqrt(1184) ?
The solution to sqrt(1184) is 4sqrt(74)