Solve 1/0.84*(25sqrt{3}-25)

$$\frac{ 1 }{ 0.84 } \times (25 \sqrt{ 3 } -25)$$

Evaluate

$$\frac{625\sqrt{3}-625}{21}\approx 21.787226416$$

Solution Steps

Expand \frac{1}{0.84} by multiplying both numerator and the denominator by 100.

$$\frac{100}{84}\left(25\sqrt{3}-25\right)$$

Reduce the fraction \frac{100}{84} to lowest terms by extracting and canceling out 4.

$$\frac{25}{21}\left(25\sqrt{3}-25\right)$$

Use the distributive property to multiply \frac{25}{21} by 25\sqrt{3}-25.

$$\frac{25}{21}\times 25\sqrt{3}+\frac{25}{21}\left(-25\right)$$

Express \frac{25}{21}\times 25 as a single fraction.

$$\frac{25\times 25}{21}\sqrt{3}+\frac{25}{21}\left(-25\right)$$

Multiply 25 and 25 to get 625.

$$\frac{625}{21}\sqrt{3}+\frac{25}{21}\left(-25\right)$$

Express \frac{25}{21}\left(-25\right) as a single fraction.

$$\frac{625}{21}\sqrt{3}+\frac{25\left(-25\right)}{21}$$

Multiply 25 and -25 to get -625.

$$\frac{625}{21}\sqrt{3}+\frac{-625}{21}$$

Fraction \frac{-625}{21} can be rewritten as -\frac{625}{21} by extracting the negative sign.

$$\frac{625}{21}\sqrt{3}-\frac{625}{21}$$

Factor

$$\frac{625 \sqrt{3} - 625}{21} = 21.787226415740395$$