Question

Type the correct answer in the box. Use numerals instead of words.

Consider this expression.
|m^2+n^2|

Answer 1

34

Explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

Modulus :- It always gives positive value . For example ,

`\rm\implies |-a| = a`

`\rm\implies |a| = a`

The given modulus expression is :-

`\rm\implies |m^2+ n^2|`

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

`\rm\implies m^2 + n^2`

Plug in the given values ,

`\rm\implies (-5)^2 + 3^2`

Solve 5² and 3² and add them ,

`\rm\implies 25 + 9`

On adding ,

`\rm\implies 34`

Therefore ,

`\rm\implies \boxed{\blue = 34 }`

Hence the required answer is 34 .