Solve sqrt(3)(sqrt(7)-sqrt(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

$$\sqrt{ 3 } ( \sqrt{ 7 } - \sqrt{ 3 } )$$

Evaluate

$\sqrt{21}-3\approx 1.582575695$

Solution Steps

Use the distributive property to multiply $\sqrt{3}$ by $\sqrt{7}-\sqrt{3}$.

$$\sqrt{3}\sqrt{7}-\left(\sqrt{3}\right)^{2}$$

To multiply $\sqrt{3}$ and $\sqrt{7}$, multiply the numbers under the square root.

$$\sqrt{21}-\left(\sqrt{3}\right)^{2}$$

The square of $\sqrt{3}$ is $3$.

$$\sqrt{21}-3$$