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Popular >

simplify sqrt(1215)

Solution

simplify

1215

Solution

915

+1

Decimal Notation

34.85685 \dots

Solution steps

1215

Prime factorization of

1215 : 3^{5} \cdot 5

= 3^{5} \cdot 5

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 3^{4} 3 \cdot 5

3^{4} = 9

= 9 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 915

Popular Examples

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\frac{1}{5} \times 1

Frequently Asked Questions (FAQ)

What is sqrt(1215) ?
The solution to sqrt(1215) is 9sqrt(15)