How to solve (8)^(2)sqrt(125)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (8)^(2)sqrt(125) | Equatix

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Question

$${ 8 }^{ 2 } \sqrt{ 125 }$$

Evaluate

$320\sqrt{5}\approx 715.5417528$

Solution Steps

Calculate $8$ to the power of $2$ and get $64$.

$$64\sqrt{125}$$

Factor $125=5^{2}\times 5$. Rewrite the square root of the product $\sqrt{5^{2}\times 5}$ as the product of square roots $\sqrt{5^{2}}\sqrt{5}$. Take the square root of $5^{2}$.

$$64\times 5\sqrt{5}$$

Multiply $64$ and $5$ to get $320$.

$$320\sqrt{5}$$

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