Solve 3sqrt(5)\times5sqrt(10) | 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

$$3 \sqrt{ 5 } \times 5 \sqrt{ 10 }$$

Evaluate

$75\sqrt{2}\approx 106.066017178$

Solution Steps

Factor $10=5\times 2$. Rewrite the square root of the product $\sqrt{5\times 2}$ as the product of square roots $\sqrt{5}\sqrt{2}$.

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

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

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

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

$$15\times 5\sqrt{2}$$

Multiply $15$ and $5$ to get $75$.

$$75\sqrt{2}$$