Solve sqrt(25) * (- sqrt(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

$$\sqrt{25}\cdot-\sqrt{20}$$

Evaluate

$-10\sqrt{5}\approx -22.360679775$

Solution Steps

Calculate the square root of $25$ and get $5$.

$$5\left(-\sqrt{20}\right)$$

Factor $20=2^{2}\times 5$. Rewrite the square root of the product $\sqrt{2^{2}\times 5}$ as the product of square roots $\sqrt{2^{2}}\sqrt{5}$. Take the square root of $2^{2}$.

$$5\left(-2\sqrt{5}\right)$$

Multiply $5$ and $-1$ to get $-5$.

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

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

$$-10\sqrt{5}$$