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Popular >

simplify 3sqrt(135)

Solution

simplify

3135

Solution

915

+1

Decimal Notation

34.85685 \dots

Solution steps

3135

Prime factorization of

135 : 3^{3} \cdot 5

= 3 3^{3} \cdot 5

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 3 3^{2} 3 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 3 \cdot 3 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 3 \cdot 315

Multiply the numbers:

3 \cdot 3 = 9

= 915

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Frequently Asked Questions (FAQ)

What is 3sqrt(135) ?
The solution to 3sqrt(135) is 9sqrt(15)