Question

is (√3 - √2)² a rational number. Explain & solve plsss helppp pls i will mark brainliest
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Answer 1

Step-by-step explanation:

hope this helps uh.

by applying the formula (a-b)²

=(a-b)(a+b)

Answer 2

Answer:

(√3-√2)²

Using (a-b)² = a²+b²-2ab

(√3)²+(√2)²-2(√3)(√2)

3+2-2√6

5-2√6

Let 5-2√6 be a rational number

Therefore,

5-2√6=p/q (where p and q are co- prime )

-2√6=p/q -5

-2√6=(p-5q)/q

√6=-(p-5q)/2q = (5q-p)/2q

Since , p/q is rational

Therefore , (5q-p)/2q is rational

Therefore, √6 is rational

But it contradicts the fact that √6 us an irrational number

Therefore, our assumption is wrong

Therefore , 5-2√6 is an irrational number

Therefore, (√3-√2)² us an irrational number