Consider the expression \sqrt{a^(2) + 12 } + |b| when a = -2 and b= 14. what is the value of the expression? show work​

Question

Consider the expression


`\sqrt{a^(2) + 12 } + |b|`
when a = -2 and b= 14. what is the value of the expression?

show work​

Answer 1

`\sf 18`

Explanation:

`\sf = \sqrt{ { - 2}^(2) + 12} + |14|`

`\sf = √((( - 2) * ( - 2)) + 12) + 14`

`\sf = √(4 + 12) + 14`

`\sf = √(16) + 14`

`\sf = \sqrt{ {4}^(2) } + 14`

`\sf = 4 + 14`

`\sf = 18`

Answer 2

18

Explanation:

`√(((-2)^2 + 12)) + 14`

=
`√((4 + 12)) + 14`

=
`√(16)+14`

= 4 + 14

= 18

Hope this helps!