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Popular >

simplify 7sqrt(315)

Solution

simplify

7315

Solution

2135

+1

Solution steps

7315

Prime factorization of

315 : 3^{2} \cdot 5 \cdot 7

= 7 3^{2} \cdot 5 \cdot 7

Apply radical rule:

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

3^{2} \cdot 5 \cdot 7 = 3^{2} 5 \cdot 7

= 7 3^{2} 5 \cdot 7

Apply radical rule:

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

3^{2} = 3

= 7 \cdot 3 5 \cdot 7

Multiply the numbers:

5 \cdot 7 = 35

= 7 \cdot 335

Multiply the numbers:

7 \cdot 3 = 21

= 2135

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Frequently Asked Questions (FAQ)

What is 7sqrt(315) ?
The solution to 7sqrt(315) is 21sqrt(35)