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Popular >

simplify sqrt(75p^5q^2)

Solution

simplify

75 p^{5} q^{2}

Solution

53 p^{2} q p

Solution steps

75 p^{5} q^{2}

75 p^{5} q^{2} = 75 p^{5} q^{2}

= 75 p^{5} q^{2}

Simplify

p^{5} : p^{2} p

= 75 p^{2} p q^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

q^{2} = q

= 75 p^{2} p q

75 = 3 \cdot 5

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

= 53 p^{2} q p

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Frequently Asked Questions (FAQ)

What is sqrt(75p^5q^2) ?
The solution to sqrt(75p^5q^2) is 5sqrt(3)p^2qsqrt(p)