Solve 3sqrt(15) * 2sqrt(5) | 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

$$3\sqrt{15}\times2\sqrt{5}$$

Evaluate

$30\sqrt{3}\approx 51.961524227$

Solution Steps

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

$$2\times 3\sqrt{5}\sqrt{3}\sqrt{5}$$

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

$$2\times 3\times 5\sqrt{3}$$

Multiply $2$ and $3$ to get $6$.

$$6\times 5\sqrt{3}$$

Multiply $6$ and $5$ to get $30$.

$$30\sqrt{3}$$