Solve (2 sqrt 6 +3. sqrt 1 0)*5 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

$$(2\sqrt{6}+3.\sqrt{1}0)\times5\sqrt{3}$$

Evaluate

$15\left(\sqrt{30}+2\sqrt{2}\right)\approx 124.584790497$

Solution Steps

Use the distributive property to multiply $5$ by $2\sqrt{6}+3\sqrt{10}$.

$$\left(10\sqrt{6}+15\sqrt{10}\right)\sqrt{3}$$

Use the distributive property to multiply $10\sqrt{6}+15\sqrt{10}$ by $\sqrt{3}$.

$$10\sqrt{6}\sqrt{3}+15\sqrt{10}\sqrt{3}$$

Factor $6=3\times 2$. Rewrite the square root of the product $\sqrt{3\times 2}$ as the product of square roots $\sqrt{3}\sqrt{2}$.

$$10\sqrt{3}\sqrt{2}\sqrt{3}+15\sqrt{10}\sqrt{3}$$

Multiply $\sqrt{3}$ and $\sqrt{3}$ to get $3$.

$$10\times 3\sqrt{2}+15\sqrt{10}\sqrt{3}$$

Multiply $10$ and $3$ to get $30$.

$$30\sqrt{2}+15\sqrt{10}\sqrt{3}$$

To multiply $\sqrt{10}$ and $\sqrt{3}$, multiply the numbers under the square root.

$$30\sqrt{2}+15\sqrt{30}$$