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Popular >

simplify 7sqrt(125)

Solution

simplify

7125

Solution

355

+1

Solution steps

7125

Prime factorization of

125 : 5^{3}

= 7 5^{3}

Apply exponent rule:

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

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

= 7 5^{2} \cdot 5

Apply radical rule:

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

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

= 7 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 7 \cdot 55

Multiply the numbers:

7 \cdot 5 = 35

= 355

Popular Examples

factor 3x^2-51+90 factor

3 x^{2} - 51 + 90

x^{2} \geq 2

∣ 2 x + 5 ∣ = ∣ - 2 x + 1 ∣

5 x^{2} + 3 x - 3 = 0

-6<= (3x+17)/7 <7

- 6 \leq \frac{3 x + 17}{7} < 7

Frequently Asked Questions (FAQ)

What is 7sqrt(125) ?
The solution to 7sqrt(125) is 35sqrt(5)