Solve 8sqrt(15)\times2sqrt(3) | 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

$$8 \sqrt{ 15 } \times 2 \sqrt{ 3 }$$

Evaluate

$48\sqrt{5}\approx 107.33126292$

Solution Steps

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

$$2\times 8\sqrt{3}\sqrt{5}\sqrt{3}$$

Multiply $\sqrt{3}$ and $\sqrt{3}$ to get $3$.

$$2\times 8\times 3\sqrt{5}$$

Multiply $2$ and $8$ to get $16$.

$$16\times 3\sqrt{5}$$

Multiply $16$ and $3$ to get $48$.

$$48\sqrt{5}$$