Solve sqrt(10sqrt(8sqrt(4))) | 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

$$\sqrt{ 10 \sqrt{ 8 \sqrt{ 4 } } }$$

Evaluate

$2\sqrt{10}\approx 6.32455532$

Solution Steps

Calculate the square root of $4$ and get $2$.

$$\sqrt{10\sqrt{8\times 2}}$$

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

$$\sqrt{10\sqrt{16}}$$

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

$$\sqrt{10\times 4}$$

Multiply $10$ and $4$ to get $40$.

$$\sqrt{40}$$

Factor $40=2^{2}\times 10$. Rewrite the square root of the product $\sqrt{2^{2}\times 10}$ as the product of square roots $\sqrt{2^{2}}\sqrt{10}$. Take the square root of $2^{2}$.

$$2\sqrt{10}$$