Solve 3sqrt(5)\timessqrt(15)= | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3 \sqrt{ 5 } \times \sqrt{ 15 } =$$

Evaluate

$15\sqrt{3}\approx 25.980762114$

Solution Steps

Factor $15=5\times 3$. Rewrite the square root of the product $\sqrt{5\times 3}$ as the product of square roots $\sqrt{5}\sqrt{3}$.

$$3\sqrt{5}\sqrt{5}\sqrt{3}$$

Multiply $\sqrt{5}$ and $\sqrt{5}$ to get $5$.

$$3\times 5\sqrt{3}$$

Multiply $3$ and $5$ to get $15$.

$$15\sqrt{3}$$