Question

$x = \sqrt{1 \frac{9}{16} } \: \: and \: y = \sqrt{1 \frac{19}{81} } \: \: then \: x - y \: is$

can you give this answer I have this question ​

Answer 1

Answer:

$x = \sqrt{1 \frac{9}{16} } \: \: \: \: , y = \sqrt{1 \frac{19}{81} } \\ x - y \\ = \sqrt{1 \frac{9}{16}} - \sqrt{1 \frac{19}{81} } \\ = \sqrt{ \frac{25}{16} } - \sqrt{ \frac{100}{81} } \\ = \sqrt{ \frac{5 \times 5}{4 \times 4} } - \sqrt{ \frac{10 \times 10}{3 \times 3} } \\ = \frac{5}{4} - \frac{10}{3} \\ = \frac{15 - 40}{12} \\ = \frac{25}{12} \\ = 2\frac{1}{12}$