Question

Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.

Answer 1

1) n=±2
`√(5)`

2) a=±3
`√(10)`

Explanation:

1)
`n^(2)` =20

✰Take the square root of both sides n=±
`√(20\\)`

✰ Simplify
`√(20\\)` to 2
`√(5)`

→ n=±2
`√(5)`

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

2)
`a^(2)` =90

✰ (Same as above) Take the square root of both sides ​a=±
`√(90\\)`

✰ Simplify
`√(90)` to 3
`√(10)`

→ a=±3
`√(10)`