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Popular >

simplify 8sqrt(45q^5)

Solution

simplify

8 45 q^{5}

Solution

245 q^{2} q

Solution steps

8 45 q^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

45 q^{5} = 45 q^{5}

= 845 q^{5}

45 = 35

= 8 \cdot 35 q^{5}

Simplify

q^{5} : q^{2} q

= 8 \cdot 35 q^{2} q

Multiply the numbers:

8 \cdot 3 = 24

= 245 q^{2} q

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Frequently Asked Questions (FAQ)

What is 8sqrt(45q^5) ?
The solution to 8sqrt(45q^5) is 24sqrt(5)q^2sqrt(q)