Question

express 3185 as sum of two squares ​

Answer 1

Answer:

it is sum of squares of 49 and 28

Step-by-step explanation:

${49}^{2} = 2401 \\ \\ {28}^{2} = 784$

2401 + 784 = 3185

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Answer 2

Answer:

3185 can be expressed as sum of squares of :

1. 56 and 7
2. 49 and 28

Step-by-step explanation:

The given number is an odd number.

⇒ It is the sum of an odd and an even number

The nearest squared number to 3185 is $56^{2}$ = 3136

⇒The largest number is less than 56

Using trial and error,

• Considering one of the number to be 56, the other number must be an odd number.

 $56^{2}$ = 3136

3185-3136 = 49 = $7^{2}$

∵ 3185 = $56^{2} +7^{2}$

Similarly, using trial and error method we can have multiple expressions of 3185 as sum of two squares.

• Considering one of the number to be 49, the other number must be an even number.

3185- $49^{2}$ = 3185- 2401 = 784 = $28^{2}$

∵ 3185= $49^{2} +28^{2}$

3185 can be expressed as sum of squares of :

1. 56 and 7
2. 49 and 28