Solve 1-2(-5/sqrt{29})

$$1 - 2 ( - \frac { 5 } { \sqrt { 29 } } )$$

Evaluate

$$\frac{10\sqrt{29}}{29}+1\approx 2.856953382$$

Short Solution Steps

Rationalize the denominator of \frac{5}{\sqrt{29}} by multiplying numerator and denominator by \sqrt{29}.

$$1-2\left(-\frac{5\sqrt{29}}{\left(\sqrt{29}\right)^{2}}\right)$$

The square of \sqrt{29} is 29.

$$1-2\left(-\frac{5\sqrt{29}}{29}\right)$$

Express 2\left(-\frac{5\sqrt{29}}{29}\right) as a single fraction.

$$1-\frac{-2\times 5\sqrt{29}}{29}$$

Multiply -2 and 5 to get -10.

$$1-\frac{-10\sqrt{29}}{29}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{29}{29}.

$$\frac{29}{29}-\frac{-10\sqrt{29}}{29}$$

Since \frac{29}{29} and \frac{-10\sqrt{29}}{29} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-\left(-10\sqrt{29}\right)}{29}$$

Do the multiplications in 29-\left(-10\sqrt{29}\right).

$$\frac{29+10\sqrt{29}}{29}$$