A binary operation ∆ is defined on the set of real numbers R, by x∆y = \(\sqrt{x+y – \frac{xy}{4}}\), where x, yER. Find the value of 4∆3
- 16
- 8
- 4
-
2
The correct answer is: D
Explanation
x∆y = \(\sqrt{x+y - \frac{xy}{4}}\)
4∆3 = \(\sqrt{4+3 - \frac{4*3}{4}}\)
= \(\sqrt{4+3-3}\)
= \(\sqrt{4}\)
= 2.