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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.

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ProfBot

1mo ago
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Wiki User

13y ago

A square root of a negative number is not possible because there aren't two numbers that are the same that can be a negative number.

Though, you can simplify it in terms of i (imaginary number), you just change it into

√49 X √-1

The square root of 49 is 7 The square root of -1 is i, So it becomes

7 X i

Thus making the answer 7i

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4y ago

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Q: What is the square root of negative 49?
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Related questions

The number 49 has two square roots what are they?

The two square roots of any positive number are the positive square root and the negative square root. The positive square root of 49 is 7, because 72=49, while the negative square root is -7, because -72=49.


What is the square root of negative forty nine?

The square root of negative forty-nine (-49) has no value over real numbers. However, over complex numbers, the square root of -49 is ±7i, where "i" is the imaginary unit, which i2 = -1.


Is square root of 49 irrational?

No. The square root of 49 is plus or minus 7, both of which are integers. And integers are rational numbers - whether they are positive or negative.


How do you simplify the fourth root of 49?

the 4th root of 49 is the square root of the square root of 49 since square root 49 =7 then simplify is square root of 7


How do you find negative square root of 49?

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.


How do you solve this equation x2 equals 49 using the square root property?

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)


What is the square root of 49 and 121?

square root of 49 is 7 square root of 121 is 11


Is the negative square root of 49 a whole number natural number integer rational number or irrational number?

The negative square root of 49 is -7. -7 is whole, integer, and rational number. It's not a natural or irrational number.


Which is a square root 49 or 55?

49 is the square root of 7


Can you give a mathematical sentence with square root?

Remember when taking the square root of a number, that there is the positive answer, but also there is a negative numbert answer. An example is the square root of 49 can be either 7 or negative seven, because when you multiply negative seven times itself, you get forty nine.


Is the square root of 49 irrational?

No. The square root of 49 is plus or minus 7, both of which are integers. And integers are rational numbers - whether they are positive or negative.


Square root of 49?

The square root of 49 is 7.7 times 7 is 49, so the square root of 49 is 7. 7