Question

1. If x=3-√3,
prove that x²
+36
x²
= x²

Answer 1

we get
`x^2=12-6√(3)`

Explanation:

We are given:
`x=3-√(3)`

We need to find
`x^2`

Note: Since question is not clear, I am assuming that we need to find
`x^2`

Solving:

`x=3-√(3) \\Taking \ square \ on \ both \ sides\\x^2=(3-√(3))^2\\`

We know that
`(a-b)^2= a^2-2ab+b^2`

Using formula and simplifying

`x^2=(3)^2-2(3)(√(3))+(√(3))^2\\x^2=9-6√(3) +3\\x^2=12-6√(3) \\`

So, we get
`x^2=12-6√(3)`