Q. 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
Find Perfect Square: 841: 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 841.Calculate the square root of 841.841=29Since 29 is a whole number, 841 is a perfect square.
Check Number: 753: Now let's check 753.Calculate the square root of 753.753 is not a whole number (approximately 27.44).Since the square root of 753 is not a whole number, 753 is not a perfect square.
Examine: 1,285: Next, we examine 1,285.Calculate the square root of 1,285.1,285 is not a whole number (approximately 35.85).Since the square root of 1,285 is not a whole number, 1,285 is not a perfect square.
Analyze: 5,625: Let's move on to 5,625.Calculate the square root of 5,625.5,625=75Since 75 is a whole number, 5,625 is a perfect square.
Verify Perfect Square: 164: Now let's look at 164.Calculate the square root of 164.164 is not a whole number (approximately 12.81).Since the square root of 164 is not a whole number, 164 is not a perfect square.
Confirm: 625: Finally, we check 625.Calculate the square root of 625.625=25Since 25 is a whole number, 625 is a perfect square.
More problems from Sum of finite series not start from 1