Solve 2sqrt(4) * 5 - 2sqrt(8) * 0 + 3sqrt(5) | 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

$$2\sqrt{4}5-2\sqrt{8}0+3\sqrt{5}$$

Evaluate

$3\sqrt{5}+20\approx 26.708203932$

Solution Steps

Multiply $2$ and $5$ to get $10$.

$$10\sqrt{4}-0\times 2\sqrt{8}+3\sqrt{5}$$

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

$$10\times 2-0\times 2\sqrt{8}+3\sqrt{5}$$

Multiply $10$ and $2$ to get $20$.

$$20-0\times 2\sqrt{8}+3\sqrt{5}$$

Multiply $0$ and $2$ to get $0$.

$$20-0\sqrt{8}+3\sqrt{5}$$

Factor $8=2^{2}\times 2$. Rewrite the square root of the product $\sqrt{2^{2}\times 2}$ as the product of square roots $\sqrt{2^{2}}\sqrt{2}$. Take the square root of $2^{2}$.

$$20-0\times 2\sqrt{2}+3\sqrt{5}$$

Multiply $0$ and $2$ to get $0$.

$$20-0\sqrt{2}+3\sqrt{5}$$

Anything times zero gives zero.

$$20-0+3\sqrt{5}$$

Subtract $0$ from $20$ to get $20$.

$$20+3\sqrt{5}$$