Math, asked by aaraadhanaa0231, 1 month ago

3. Check whether 81 is a square number.​

Answers

Answered by pk030833
7

Answer:

on lcm we get 3*3*3*3

so as we get four 3 so it means its a square of no 3*3

9

so it is a square

hope it helps you

Answered by pulakmath007
3

SOLUTION

TO DETERMINE

Check whether 81 is a square number.

EVALUATION

Step : I

Firstly express the given number as a product of prime factor by using prime factorisation

81 = 3 × 3 × 3 × 3

Step : II

Make the pair of similar factors such that the both factors in each pair are equal.

81 = 3² × 3²

Step : III Take one factor from each pair.

Square root of 81

= √81

= 3 × 3

= 9

Step : IV . If no factor is left over in grouping (pairs) then the number is perfect square otherwise not

Since no factor is left over in grouping

So the given number 81 is perfect square

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