sqrt(48) = 4*sqrt(3).
2 x 2 x 5 = 20
2 x 5 x 5 = 50
2 x 2 x 2 x 2 x 29 x 29 = 13456 2 x 2 x 29 = 116, the square root
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
The prime factorization of 256 is 28. The square root is 24 or 16.
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.
Since the square root of 18 is not an integer, it doesn't have a prime factorization.
The prime factorisation of the square root of 99856 is 2*2*79.
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
The square root of 11,025 is 105. The prime factorization of 105 is: 3 x 5 x 7
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factorization of the square root of 36 is 2 x 3, or 6.
37 x 37 = 1369 The square root is 37.
3 x 5 = 15
As a product of its prime factors: 3*3*7*7 = 441 Its square root is 21 or as 3*7 as the product of its prime factors
60 is the square root of 3,600.60