Hello!
The number 49 is similar to other numbers like 25, 81, 4, or 64. All these numbers are perfect squares. Perfect squares are numbers multiplied by itself. Here is a list of commonly used perfect squares.
- 1 × 1 = 1
- 2 × 2 = 4
- 3 × 3 = 9
- 4 × 4 = 16
- 5 × 5 = 25
- 6 × 6 = 36
- 7 × 7 = 49
- 8 × 8 = 64
- 9 × 9 = 81
- 10 × 10 = 100
- 11 × 11 = 121
- 12 × 12 = 144
From the list above, the square root of 49 is 7, but the question asks for the negative square root of 49, which is written as: -√49.
To simplify this expression, first, simplify the radical, and then multiply the product by negative one.
7 × -1 = -7
Therefore, the negative square root of 49 is choice C, - 7.