Question

Write √-45 in simplest radical form.

Answer 1

3√5i

Explanation:

`√(-45)=√(-1)√(45)\\√(-1)√(45)\\i√(45)\\**Prime\:Factorization*\\3 * 3 * 5 = 45\\=3√(5)i`

➲ Hope this helps.

Answer 2

Answer: 3
`\sqrt4`

Explanation:

Simplified radical form of the square root of 45

Square root of 45 can be expressed as, √45 = √(9 × 5) = 3√5. 45 is not a perfect square, so, it remains within roots. The simplified radical form of the square root of -45 is 3√5.