Question

find the square root of in the form of√x + √y
$\sqrt{7 + \frac{5}{2} \sqrt{3} }$
​

Answer 1

Answer:

(

3

+

5

)(

3

−

5

)

= \sqrt{9\,} + \sqrt{15\,} - \sqrt{15\,} - \sqrt{25\,}=

9

+

15

−

15

−

25

= \sqrt{9\,} - \sqrt{25\,}=

9

−

25

= 3 - 5 = \mathbf{\color{purple}{ -2 }}=3−5=−2