What is sqrt(3^5*5^3) ?

The solution to sqrt(3^5*5^3) is 45sqrt(15)

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simplify sqrt(3^5*5^3)

simplify

3^{5} \cdot 5^{3}

4515

Decimal Notation

174.28425 \dots

Solution steps

3^{5} \cdot 5^{3}

Apply radical rule:

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

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

= 3^{5} 5^{3}

3^{5} = 93

= 93 5^{3}

5^{3} = 55

= 93 \cdot 55

Multiply the numbers:

9 \cdot 5 = 45

= 4535

Apply radical rule:

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

35 = 3 \cdot 5

= 45 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 4515

∣ 3 + 2 i ∣

3 \cdot (- \frac{3}{2})

\frac{\frac{x - 1}{x + 1}}{\frac{1 - x}{x ^{2} + 2 x + 1}}

\frac{1.1}{1.1 + 1}

(x - 4 y)^{2}