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What least number must be added to 5607 to make the sum a perfect square find theperfect square of its square root?
5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.
How do you find out what is the least number 300 has to be mulitplyed by to make a perfect square?
300*3 = 900 which is a perfect square because 30 squared equals 900
Find the least number which must be added to 4562 to make it a perfect square?
62
What is the least positive integer when subtracted from 7300 would make the result a perfect square?
To find the least positive integer that, when subtracted from 7300, results in a perfect square, we can start by determining the largest perfect square less than 7300. The largest perfect square less than 7300 is (85^2 = 7225). Subtracting this from 7300 gives (7300 - 7225 = 75). Therefore, the least positive integer that should be subtracted from 7300 to make it a perfect square is 75.
What is the smallest positive integer n such that 2n is a perfect square 3n is a perfect cube and 4n is a perfect fourth?
To find the smallest positive integer ( n ) such that ( 2n ) is a perfect square, ( 3n ) is a perfect cube, and ( 4n ) is a perfect fourth, we analyze the conditions for each case using prime factorization. Let ( n = 2^a \cdot 3^b \cdot k ), where ( k ) is coprime to 2 and 3. For ( 2n ) to be a perfect square, ( a+1 ) must be even and ( b ) must be even. For ( 3n ) to be a perfect cube, ( a ) must be divisible by 3 and ( b+1 ) must be divisible by 3. For ( 4n ) to be a perfect fourth, ( a+2 ) must be divisible by 4 and ( b ) must be divisible by 4. By solving these conditions simultaneously, the smallest ( n ) that meets all conditions is ( n = 108 ).
What is the least no that should be added to 81180 to make it a perfect square?
To find the least number that should be added to 81180 to make it a perfect square, first, determine the square root of 81180, which is approximately 284.3. The next whole number is 285, and squaring it gives 81225. Therefore, the least number to be added is 81225 - 81180 = 45. Thus, 45 should be added to 81180 to make it a perfect square.
What least number must be added to 165 to make it a perfect square?
To find the least number that must be added to 165 to make it a perfect square, we first determine the nearest perfect squares. The perfect squares near 165 are (12^2 = 144) and (13^2 = 169). Since 165 is closer to 169, we calculate (169 - 165 = 4). Therefore, the least number that must be added to 165 to make it a perfect square is 4.
How do you find if 9075 a perfect square?
If its square root can be expressed as a rational number then it is a perfect square. 9075 is not a perfect square. However, 9025 is.
How do you find the least number that is divisible by 1-12?
13
Which least no must be subtracted from 149 to make it perfect square?
5
What least no must be added to 4321 to make it a perfect square method to solve?
-- Find the square root of 4,321.-- It begins with 65.7...-- So the smallest perfect square greater than 4,321 must be (66)2.-- (66)2 = 4,356 .-- 4,356 - 4,321 = 35 .
What is the least number multiplied to 21168 to make it perfect square?
To determine the least number that must be multiplied to 21168 to make it a perfect square, we first find its prime factorization: (21168 = 2^4 \times 3^1 \times 11^1). For a number to be a perfect square, all the exponents in its prime factorization must be even. Here, the exponent of 3 and 11 are odd, so we need at least one more factor of each. Thus, we multiply by (3^1 \times 11^1 = 33). Therefore, the least number that must be multiplied to 21168 to make it a perfect square is 33.
