Solve P(750)=50sqrt(750)-0.5(750)-75 | 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

$$P(750)=50 \sqrt{ 750 } -0.5(750)-75$$

Evaluate

$250\sqrt{30}-450\approx 919.306393763$

Solution Steps

Factor $750=5^{2}\times 30$. Rewrite the square root of the product $\sqrt{5^{2}\times 30}$ as the product of square roots $\sqrt{5^{2}}\sqrt{30}$. Take the square root of $5^{2}$.

$$50\times 5\sqrt{30}-0.5\times 750-75$$

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

$$250\sqrt{30}-0.5\times 750-75$$

Multiply $0.5$ and $750$ to get $375$.

$$250\sqrt{30}-375-75$$

Subtract $75$ from $-375$ to get $-450$.

$$250\sqrt{30}-450$$

Factor

$50 {(5 \sqrt{30} - 9)} = 919.306393763$