Math, asked by PretSandhu989412, 3 months ago

(√3-√2)^2 plz answer it briefly plz ​

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Answers

Answered by Arya20074
1

Answer:

IRRATIONAL!

Step-by-step explanation:

Let us first find the answer..

(√3 -√2)² ⇒ (√3)² - 2 × √3 × √2 + (√2)² ⇒ 3 - 2√6 + 2 ⇒ 5 - 2√6

The final answer that we get is 5 + 2√6.

To simplify it further..we will use the value of √6.

That is, 2.44948974278 (which is irrational)..

Since product of two prime irrational numbers are irrational... the product of 2 and √6 is also irrational.

Subtracting them with 5 also won't make any difference as, it does not have any decimal places...

So, This is irrational. Hope it helps.. :D

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