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- Find the square root of 999;
- Remove the fractional (decimal) part to leave a whole number; and
- Square it.
A perfect square number is made by squaring an integer. The largest three digit perfect square number will be a little bit greater than 302 = 900. So it will be (3A)2. Using the formula for the square of a binomial, a2 + 2ab + b2, A = 1. Thus, (30 +1)2 = 302 + 2(30)(1) + 12 = 961 is the largest perfect square number.
Check 32:
322 = (30 + 2)2 = 900 + 2(30)(2) + 22 = 900 + 120 + 4 = 1024 (4-digits)
You can work faster like this:
312 = 3212; 901 + 2(3)(1)(10) = 961
322 = 3222; 904 + 2(3)(2)(10) = 1024
562 = 5262; 2536 + 600 = 3136
What else can I help you with?
Which is the largest 4 digit number which is a perfect square?
10000 is the square of 100 so you're looking for the square of 99 which is 9801.
Greatest three digit perfect square?
The greatest three-digit perfect square is 961, which is the square of 31 (31 × 31 = 961). The next perfect square, 1024, is a four-digit number, making 961 the highest perfect square within the three-digit range.
How is 100 a perfect square?
It is the square of an integer: that is what a perfect square is.
How do you make 5 digit numbers as square?
The smallest 5 digit number is 10000 = 1002 The largest 5 digit number is 99999 and 3162 < 99999 < 3172 So, take any number between 100 and 316 (both inclusive) and square it to get a 5-digit perfect square.
Is the three-digit number X64 a perfect square?
x64 is not a perfect square any number if it is a 3-digit perfect square and ending with 4 it can be 144,324 ,484 and 784 because the number is ending with 4 but the tens digit is not matching to any of the option so it is not a perfect square
What is the the greatest 5 digit perfect square?
The largest 5 digit perfect square is 99856 = 3162
What is the largest 4 digit perfect square?
9801
The largest three digit perfect square?
961 961
What is the largest 3-digit square number?
The largest 3-digit number - not itself a perfect square - is 999. Calculate its square root, round the answer down, then square the answer again.
What is the greatest perfect square?
99801 is the greatest 5 digit number * * * * * 99801 is not a perfect square! Sqrt(99801) = 315.91 (approx). The largest 5 digit perfect square is 99856 = 3162
The largest three-digit perfect square?
It is: 31*31 = 961
What is the largest two digit perfect square that has two factors?
Thghj
What is the ones digit of the largest nine-digit perfect square?
It's 4. (31,622)2 = 999,950,884 .
What is the largest nine-digit number that is a perfect square?
999,950,884 = (31,622)2
Which is the largest 4 digit number which is a perfect square?
10000 is the square of 100 so you're looking for the square of 99 which is 9801.
Greatest three digit perfect square?
The greatest three-digit perfect square is 961, which is the square of 31 (31 × 31 = 961). The next perfect square, 1024, is a four-digit number, making 961 the highest perfect square within the three-digit range.
How many 5-digit integers are perfect squares?
The smallest 5-digit integer perfect square is 10,000 = (100)2The largest 5-digit integer perfect square is 99,856 = (316)2So we want to know how many numbers that is, from 100 to 316 inclusive.It's 316 minus the first 99 = 217 of them.
