Question

find the square of [3-√5].is the square rational or irrational
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Answer 1

( 3 - √5 )²

☛ 3² + (√5)² - 2•3•√5

==> (a - b)² = a² + b² - 2ab

☛ 9 + 5 - 6√5

☛ 14 - 6√5

Hence, the square is irrational.

Answer 2

Answer:

3 minus root 5 the whole square

= ( 9-2×3×√5+5)

=( 14-6√5)

Hence , the square is an irrational number.

Hope , it helps you ✌️.