You don't. If the negative sign is outside the radical, then you take the square root of the number and apply the negative. If the negative sign is inside the radical, you will have an imaginary number.
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The square root of a negative number is considered an imaginary number. In this case, the square root of -49 is 7i, where i represents the imaginary unit (√-1). This is because when you square 7i, you get -49.
if x^2 = 49, then the square root property says you can take the square root of both sides as long as you make one a plus-minus. x^2 = 49, which means square root of x^2 = plus minus the square root of 49 the square root of 49 is 7, so +- 7. We get: x = plus/minus 7 (this means either positive 7 or negative 7)
square root of 49 is 7 square root of 121 is 11
think about it this way... a negative times a negative is a positive... squaring is the same as multiplying it by itself. 4^2 is 16, 4X4 is 16. -7X-7 is positive 49. So a square can't be negative, therefore a negative cannot be square rooted.
The negative square root of 49 is -7. -7 is whole, integer, and rational number. It's not a natural or irrational number.