How many positive integers less that 50 have irrational square roots?

It is easier to calculate how many integers are perfect squares and then subtract that number from 50.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

There are 7 numbers that have perfect squares, so there are 50 - 7 = 43 that have irrational square roots.

43

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2