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 , )
Answers
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:
225 = LCM OF 225
( 5 X 5 X 3 X 3 )
= > 5 X 3
= > 15 .
Step-by-step explanation: