Solve P(1175)=50sqrt(1175)-0.5(1175)-75 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$P(1175)=50 \sqrt{ 1175 } -0.5(1175)-75$$

Evaluate

$250\sqrt{47}-662.5\approx 1051.4136501$

Solution Steps

Factor $1175=5^{2}\times 47$. Rewrite the square root of the product $\sqrt{5^{2}\times 47}$ as the product of square roots $\sqrt{5^{2}}\sqrt{47}$. Take the square root of $5^{2}$.

$$50\times 5\sqrt{47}-0.5\times 1175-75$$

Multiply $50$ and $5$ to get $250$.

$$250\sqrt{47}-0.5\times 1175-75$$

Multiply $0.5$ and $1175$ to get $587.5$.

$$250\sqrt{47}-587.5-75$$

Subtract $75$ from $-587.5$ to get $-662.5$.

$$250\sqrt{47}-662.5$$

Factor

$250 \sqrt{47} - 662.5 = 1051.4136501$