Solve sqrt(7)(sqrt(3)+sqrt(7)) | 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

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

Evaluate

$\sqrt{21}+7\approx 11.582575695$

Solution Steps

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

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

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

$$\sqrt{21}+\left(\sqrt{7}\right)^{2}$$

The square of $\sqrt{7}$ is $7$.

$$\sqrt{21}+7$$