Question

find the square root of 7-4√3

Answer 1

Answer:

Step-by-step explanation:To solve this kind of question, first assume its square root.

Let the square root of (7 - 4√3) be (a-√b)

So we can say " (a -√b)^2 = 7 - 4√3 "

(a -√b)^2 = a^2 + b - 2a√b

Thus a^2 + b - 2a√b = 7 - 4√3

Or

(a^2 + b) = 7. And

2a√b = 4√3

(Two equation, two variable=>can be solved)

You can see clearly 2a = 4 => a =2

And b=3

Thus square root of 7-4√3 is (a-√b) or (2 - √3)

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Answer 2

approx -4. 28 is the square root of 7 -4√3