Solve sqrt(2) * 5sqrt(20) | 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

$$\sqrt{2}5\sqrt{20}$$

Evaluate

$10\sqrt{10}\approx 31.622776602$

Solution Steps

Factor $20=2\times 10$. Rewrite the square root of the product $\sqrt{2\times 10}$ as the product of square roots $\sqrt{2}\sqrt{10}$.

$$5\sqrt{2}\sqrt{2}\sqrt{10}$$

Multiply $\sqrt{2}$ and $\sqrt{2}$ to get $2$.

$$5\times 2\sqrt{10}$$

Multiply $5$ and $2$ to get $10$.

$$10\sqrt{10}$$