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- Which of the following numbers are perfect squares 121,111,32,16
- Which of the following numbers are squares of even numbers 225,373758,6561
- Using prime-factorization method, find which of the following numbers are perfect square 225,2916,11025
- By just examing the unit digits,can you tell which of the following cannot be whole squares? 1022,1026,1027
- By what number should each of the following numbers be multiplied to get a perfect square in each case? Also. find the number whose,square is the new number? 7776,2880,8820,605,
- By what number should each of the following be divided to get a perfect square in each case? also find the number whose square is the new number 16562,1575,5103

Hi!

Here is the answer to your question.

(3)

**Consider the number 225.**

Prime factorization of 11025 =

__3 × 3__×__5 × 5__×__7 × 7__Since all the factors are in pairs, so 11025 is a perfect square.

(4)

**The square numbers always ends in 0, 1, 4, 5, 6 or 9.**

The unit digit of 1022 is 2. So, 1022 is

**not**a perfect square.The unit digit of 1026 is 6. But this number is

**not**a perfect square (**Number which end in 6 are not always perfect squares).****2116**is a perfect square.

The unit digit of 1027 is 7. So, 1027 is

**not**a perfect square.We are happy to see the interest you are showing towards this section! Thank you for your response. However, due to a paucity of time we will not be able to immediately answer all your queries. Try to solve the remaining questions. If you have any problem solving them, then get back to us we will be happy to help you.

Cheers!

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