Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following numbers are not perfect squares? Give reasons.
(A) 841
(B) 753
(C) 1,285
(D) 1296
(E) 325
(F) 5,625
(G) 164
(H) 625

Which of the following numbers are not perfect squares? Give reasons.\newline(A) 841841\newline(B) 753753\newline(C) 11,285285\newline(D) 12961296\newline(E) 325325\newline(F) 55,625625\newline(G) 164164\newline(H) 625625

Full solution

Q. Which of the following numbers are not perfect squares? Give reasons.\newline(A) 841841\newline(B) 753753\newline(C) 11,285285\newline(D) 12961296\newline(E) 325325\newline(F) 55,625625\newline(G) 164164\newline(H) 625625
  1. Find Perfect Square: 841841: To determine if a number is a perfect square, we can try to find a whole number that, when squared, equals the number in question. Let's start with 841841.\newlineCalculate the square root of 841841.\newline841=29\sqrt{841} = 29\newlineSince 2929 is a whole number, 841841 is a perfect square.
  2. Check Number: 753753: Now let's check 753753.\newlineCalculate the square root of 753753.\newline753\sqrt{753} is not a whole number (approximately 27.4427.44).\newlineSince the square root of 753753 is not a whole number, 753753 is not a perfect square.
  3. Examine: 1,2851,285: Next, we examine 1,2851,285.\newlineCalculate the square root of 1,2851,285.\newline1,285\sqrt{1,285} is not a whole number (approximately 35.8535.85).\newlineSince the square root of 1,2851,285 is not a whole number, 1,2851,285 is not a perfect square.
  4. Analyze: 5,6255,625: Let's move on to 5,6255,625.\newlineCalculate the square root of 5,6255,625.\newline5,625=75\sqrt{5,625} = 75\newlineSince 7575 is a whole number, 5,6255,625 is a perfect square.
  5. Verify Perfect Square: 164164: Now let's look at 164164.\newlineCalculate the square root of 164164.\newline164\sqrt{164} is not a whole number (approximately 12.8112.81).\newlineSince the square root of 164164 is not a whole number, 164164 is not a perfect square.
  6. Confirm: 625625: Finally, we check 625625.\newlineCalculate the square root of 625625.\newline625=25\sqrt{625} = 25\newlineSince 2525 is a whole number, 625625 is a perfect square.

More problems from Sum of finite series not start from 1