Solve sqrt(2)\timessqrt(3)\timessqrt(42) | 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

$$\sqrt{ 2 } \times \sqrt{ 3 } \times \sqrt{ 42 }$$

Evaluate

$6\sqrt{7}\approx 15.874507866$

Solution Steps

Factor $42=2\times 21$. Rewrite the square root of the product $\sqrt{2\times 21}$ as the product of square roots $\sqrt{2}\sqrt{21}$.

$$\sqrt{2}\sqrt{3}\sqrt{2}\sqrt{21}$$

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

$$2\sqrt{3}\sqrt{21}$$

Factor $21=3\times 7$. Rewrite the square root of the product $\sqrt{3\times 7}$ as the product of square roots $\sqrt{3}\sqrt{7}$.

$$2\sqrt{3}\sqrt{3}\sqrt{7}$$

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

$$2\times 3\sqrt{7}$$

Multiply $2$ and $3$ to get $6$.

$$6\sqrt{7}$$