Question

Explain how to find the square root of 100. Explain why you use the underlined + sign.

Answer 1

10

Explanation:

Factor the number: 100 =
`10^(2)`

=
`√(10^2)`

Apply radical rule:
`\sqrt[n]{a^n} =a`

`√(10^2) =10`

=10

Answer 2

±10

Explanation:

so what squared is 100?

10. but also -10.

10*10 = 100, and -10*-10 is also 100.

therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.