Square Root of 1296 Help

Square Root of 1296 Help In order to find the square root of a given number, we should write the given number in terms of its prime factors. The square root of 1296, represented as 1296 can be written in terms of its prime factors as = (2* 2* 2* 2* 3* 3* 3* 3). Now the numberswhich are repeating twice inside are pulled outside and hence we get 2* 2* 3* 3 = 36. Therefore the 1296 = 36 and since we get a perfect number, hence 1296 is a perfect square. Example 1:Find the value of the given expression: 4 * 1296. Here each square root radical should be simplified further. 4= (2 * 2). Now pull out the number which is repeating twice inside the radical. This gives: 4 = 2 and 4 is a perfect square since its square root gives a perfect number! And we already have 1296 = 36. So, 4 * 1296 = 2 * 36 = 72. Hence the value of the expression,4 * 1296 is = 72. Example 2: Find the value of the given expression: 9 * 1296. Here each square root radical should be simplified further. 9 = (3 * 3). Now pull out the number which is repeating twice inside the radical. This gives: 9 = 3and here9 is a perfect square. We have, 1296 = 36. So now multiplying the two radicals we get: 9 * 1296 = 3 * 36 = 108. Hence the value of the expression, 9 * 1296 is = 108.