Solve 1sqrt(3sqrt(8\times2)) | 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

$$1 \sqrt{ 3 \sqrt{ 8 \times 2 } }$$

Evaluate

$2\sqrt{3}\approx 3.464101615$

Solution Steps

Multiply $8$ and $2$ to get $16$.

$$1\sqrt{3\sqrt{16}}$$

Calculate the square root of $16$ and get $4$.

$$1\sqrt{3\times 4}$$

Multiply $3$ and $4$ to get $12$.

$$1\sqrt{12}$$

Factor $12=2^{2}\times 3$. Rewrite the square root of the product $\sqrt{2^{2}\times 3}$ as the product of square roots $\sqrt{2^{2}}\sqrt{3}$. Take the square root of $2^{2}$.

$$1\times 2\sqrt{3}$$

Multiply $1$ and $2$ to get $2$.

$$2\sqrt{3}$$