Solve 4/4 * sqrt(4 * 5 ^ 2 - 4 ^ 2) | 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

$$\frac{4}{4}\sqrt{4\times5^{2}-4^{2}}$$

Evaluate

$2\sqrt{21}\approx 9.16515139$

Solution Steps

Divide $4$ by $4$ to get $1$.

$$1\sqrt{4\times 5^{2}-4^{2}}$$

Calculate $5$ to the power of $2$ and get $25$.

$$1\sqrt{4\times 25-4^{2}}$$

Multiply $4$ and $25$ to get $100$.

$$1\sqrt{100-4^{2}}$$

Calculate $4$ to the power of $2$ and get $16$.

$$1\sqrt{100-16}$$

Subtract $16$ from $100$ to get $84$.

$$1\sqrt{84}$$

Factor $84=2^{2}\times 21$. Rewrite the square root of the product $\sqrt{2^{2}\times 21}$ as the product of square roots $\sqrt{2^{2}}\sqrt{21}$. Take the square root of $2^{2}$.

$$1\times 2\sqrt{21}$$

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

$$2\sqrt{21}$$