What is 3sqrt(75m^5p^2) ?

The solution to 3sqrt(75m^5p^2) is 15sqrt(3)m^2psqrt(m)

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simplify 3sqrt(75m^5p^2)

simplify

3 75 m^{5} p^{2}

153 m^{2} p m

Solution steps

3 75 m^{5} p^{2}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

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

= 375 m^{5} p^{2}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

m^{5} p^{2} = m^{5} p^{2}

= 375 m^{5} p^{2}

75 = 53

= 3 \cdot 53 m^{5} p^{2}

Simplify

m^{5} : m^{2} m

= 3 \cdot 53 m^{2} m p^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

p^{2} = p

= 3 \cdot 53 m^{2} m p

Multiply the numbers:

3 \cdot 5 = 15

= 153 m^{2} m p

= 153 m^{2} p m

\frac{29 + 3 i}{1 + 2 i}

\frac{2000 0 ^{2}}{50000}

5 \times 5 \times 5 \times 5 \times 5

\frac{8}{2 x}

(2 x - 2) (2 x - 4)

What is 3sqrt(75m^5p^2) ?
The solution to 3sqrt(75m^5p^2) is 15sqrt(3)m^2psqrt(m)