Question

Find the sq root the sq root of 5 is 2.24

Answer 1

Answer:
`\bold{(7-3\sqrt5)/(2)}`

Explanation:

You did great until you expanded (3 - √5)². You forgot the middle term

`(3-\sqrt5)/(3+\sqrt5)\bigg((3-\sqrt5)/(3-\sqrt5)\bigg)\\\\\\=((3-\sqrt5)(3-\sqrt5))/((3+\sqrt5)(3-\sqrt5))\\\\\\=(9-3\sqrt5-3\sqrt5+5)/(9-3\sqrt5+3\sqrt5-5)\\\\\\=(14-6\sqrt5)/(4)\\\\\\\text{Factor out a 2 from the numerator and denominator}\\=(2(7-3\sqrt5))/(2(2))\\\\\\=\large\boxed{(7-3\sqrt5)/(2)}`