Question

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

Answer 1

Answer:

34

Step-by-step 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 ,

$\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}$

Hence the required answer is 34 .