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Kitty [74]
3 years ago
10

Which of the following square root of the following number below? Check all that apply. 361

Mathematics
2 answers:
klemol [59]3 years ago
6 0

Answer:

strangely worded question....

361^{1/2} = \sqrt{361}

Step-by-step explanation:

murzikaleks [220]3 years ago
4 0
<h3>4 Answers:  B, C, D, and F</h3>

=========================================================

Explanation:

Notice how (19)^2 = 19*19 = 361

This shows that 19 is a square root of 361. We can say \sqrt{361} = \sqrt{19^2} = 19

Similarly, (-19)^2 = (-19)*(-19) = 361. The two negatives cancel each other out. So that's why there are two solutions to x^2 = 361 which are x = 19 and x = -19.

So far that accounts for answer choices B and D.

-------------------------------------------

The other two answers are -361^{1/2} and 361^{1/2} (choices C and F) because anything to the 1/2 power represents a square root.

x^{1/2} = \sqrt{x}

anything to the 1/3 power is a cube root

x^{1/3} = \sqrt[3]{x}

anything to the 1/4 power is a fourth root

x^{1/4} = \sqrt[4]{x}

and so on.

-------------------------------------------

Side note: For choice C, the exponent is done first before we apply the negative. So technically we could say -1*(361)^{1/2} for choice C to mean the same exact thing. If your teacher said (-361)^{1/2} then this would not be an answer because this results in a non-real number.

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