Question

The least number which 180 must be multiplied so thatvit becomes a perfect square is

Answer 1

Answer:

lcm of 180 is 2×2×5×3×3

180 × 5=900

√900 = 2×2×5×5×3×3

           =30

Step-by-step explanation:

Answer 2

Answer: The answer is 5

Step-by-step explanation:The prime factorisation of 180 is 2*2*3*3*5.

A perfect square is a no. whose all prime factors can be grouped in pairs

Since all of the prime factors can be grouped in pairs, except 5,

5 should be multiplied to get a perfect square.

Check :180*5

=900 (which is the square of 30)

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