Solve 2sqrt(2sqrt(81)) | 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

$$2 \sqrt{ 2 \sqrt{ 81 } }$$

Evaluate

$6\sqrt{2}\approx 8.485281374$

Solution Steps

Calculate the square root of $81$ and get $9$.

$$2\sqrt{2\times 9}$$

Multiply $2$ and $9$ to get $18$.

$$2\sqrt{18}$$

Factor $18=3^{2}\times 2$. Rewrite the square root of the product $\sqrt{3^{2}\times 2}$ as the product of square roots $\sqrt{3^{2}}\sqrt{2}$. Take the square root of $3^{2}$.

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

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

$$6\sqrt{2}$$