Question

in how many ways 1105 can be written as sum of two squares of natural number

Answer 1

32²+9²=1024+81=1105
31²+12²=961+144=1105
24²+23²=576+529=1105

So 6 ways!

Answer 2

Answer:

There are 3 ways 1105 can be written as the sum of the squares of two natural numbers.

Step-by-step explanation:

We are given that,

'The sum of squares of two numbers is 1105'.

As we can see that,

The possible numbers which gives the result 1105 after adding their squares are,

32 and 9

31 and 12

24 and 23

Thus, there are 3 ways 1105 can be written as the sum of the squares of two natural numbers.