-- 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 .
21
sqrt 12345 is about 111.1062 so the next perfect square is 1122= 12544 so you have to add 199
405 inches
the first one i just move the toothpick on the right over Then move the bottom stick and place it to the right of the top stick to form the square root symbol
One possible answer is 1/2550, which will make the product 1: 1 is a perfect square. Alternately, you could try 102, but that is far from the smallest.
5.
How about 150*6 = 900 which is a perfect square because 30*30 = 900
sqrt(2493) = 49.93 So the largest perfect square smaller than 2493 is 492 = 2401 Therefore, the smallest number to be subtracted is 2493 - 2401 = 92
To find the smallest number that 360 needs to be multiplied by to get a perfect square, we first factorize 360 into its prime factors: 2^3 * 3^2 * 5. To make it a perfect square, we need to pair up these factors. Since 2 and 5 are not paired, the smallest number we need to multiply 360 by is 5, making it 1800 (2^3 * 3^2 * 5^2), which is a perfect square.
In terms of prime factors, 1008 = 24*32*7 Then since 24 and 32 are perfect squares, all that is required is to make 7q a perfect square and so q = 7.
The smallest number that you can subtract from 85232 to make it a multiple of 9 is 2
the correct answer is 15. factorize the number. In this case it will be 2*2*3*5. As you can notice, we need 1 more 3 and 5 to make it a perfect square. So the answer is 15. 15*60=900 900 square root =30
-- 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 .
3600 is the smallest perfect square divisible by 8,9 and 10. Work out the prime factorisations for each of the numbers 8, 9, 10: 8 = 23 9 = 32 10 = 2 x 5 So the perfect square must be a multiple of the lcm of 8, 9 & 10 = 23 x 32 x 5 to be divisible by all three numbers. All perfect squares have even powers for all their primes (in their prime factorisation), so to make all the powers even the smallest multiplier of this is 2 x 5, giving 24 x 32 x 52 = 3600.
k = 98. In the prime factorization (in power format) of a perfect cube, every prime must be to the power of a multiple of 3. 756 = 2^2 x 3^3 x 7 Thus the smallest perfect cube that is a multiple of 756 is 2^3 × 3^3 × 7^3; to obtain this need to multiply 756 by 2^1 × 3^0 × 7^2 = 98 Thus the smallest k to make 756k a perfect prime is k = 98.
3 because 12 times 3 equals 36 and the square root of 36 is 6! hope this helped! :-)