the positive square root of 19+8root3
Answers
Answered by
5
Step-by-step explanation:
hi I am Kartik jaswal you
Answered by
9
Answer:
Do you want: sqrt(19 - 8*sqrt(3))
Suppose that a and b are integers such that:
a + sqrt(b) = sqrt(19 - 8*sqrt(3))
(a + sqrt(b))^2 = 19 - 8*sqrt(3)
a^2 + 2a*sqrt(b) + b = 19 - 8*sqrt(3)
If we break up that equation into two equations, one for the rational part and one for the irrational part, we have:
a^2 + b = 19
2a*sqrt(b) = -8*sqrt(3)
From that, we get a = -4 and b = 3
So the answer is sqrt(3) - 4
But that's a negative number, if you want a non-negative number then use 4 - sqrt(3)
Similar questions