Question

3. Using prime factorisation method, find
which of the following numbers are perfect
squares?
189, 225, 343, 441, 2048, 2916, 3549, 11025.




answer is ( 225 , 441 , 2916 , 11025 , ) ​

Answer 1

Answer:

189 prime factors are

189=3

2

×3×7

Since, it does not have equal pairs of factors.

∴ 189 is not a perfect square.

225 prime factors are

225=(5×5)×(3×3)

Since 225 has equal pairs of factors.

∴ It is a perfect square.

2048 prime factors are

2048=(2×2)×(2×2)×(2×2)×(2×2)×(2×2)×2

Since 2048 does not have equal pairs of factors.

∴ It is a not a perfect square.

441 prime fators are

441=(7×7)×(3×3)

Since 441 has equal pairs of factors.

∴ It is a perfect square.

2961 prime factors are

2961=(3×3)×(3×3)×(3×3)×(2×2)

Since 2961 has equal pairs of factors.

∴ It is a perfect square.

11025 prime factors are

11025=(3×3)×(5×5)×(7×7)

Since 11025 has equal pairs of factors.

∴ It is a perfect square.

3549 prime factors are

3549=(13×13)×3×7

Since 3549 does not have equal pairs of factors.

∴ It is a not a perfect square.

I hope this helps you.

Mark my answer as a brainliest answer.

Answer 2

Answer:

225 = LCM OF 225

( 5 X 5 X 3 X 3 )

= > 5 X 3

= > 15 .

Step-by-step explanation: