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grin007 [14]
2 years ago
8

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

Mathematics
1 answer:
valentina_108 [34]2 years ago
3 0

Answer:

we get x^2=12-6\sqrt{3}

Step-by-step explanation:

We are given: x=3-\sqrt{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-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\

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

Using formula and simplifying

x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\

So, we get x^2=12-6\sqrt{3}

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