Simplify: sqrt 1

3 answers

The square root of 1 is 1. Therefore, \(\sqrt{1} = 1\).

Solve the equation given below for x.

x2 = 56/36

To solve the equation \( x^2 = \frac{56}{36} \), we first simplify the fraction.

  1. Simplify \(\frac{56}{36}\): \[ \frac{56 \div 4}{36 \div 4} = \frac{14}{9} \]

  2. Now, the equation is: \[ x^2 = \frac{14}{9} \]

  3. Take the square root of both sides: \[ x = \pm \sqrt{\frac{14}{9}} = \pm \frac{\sqrt{14}}{\sqrt{9}} = \pm \frac{\sqrt{14}}{3} \]

Thus, the solutions for \(x\) are: \[ x = \frac{\sqrt{14}}{3} \quad \text{and} \quad x = -\frac{\sqrt{14}}{3} \]