Question

Can someone check my answer please?

My answer is C or D, but I'm not sure which one.

Answer 1

@Vocaloid

Answer 2

What is \(\Large \sqrt[4]{2401} \) ?

Answer 3

I already know that the answer is C or D, the reason i'm not sure is because of those lines and I'm thinking its D.

Answer 4

Ok. You are correct. The answer is C or D.
I'll explain why absolute signs are used.

Answer 5

Okay, that's where I'm stuck.

Answer 6

@Liv1234
hint: \(x^2, x^4, x^6...\) are even powers. Even powers of real numbers are always positive, whether there is an absolute value sign on it or not.

Answer 7

Does that mean the answer is D?

Answer 8

What does the square root of a number mean?
It is the number that when you square you get your original number back.
For example, what is the square root of 4?
It is the number that when you square you get 4.

Answer 9

There are two numbers that when you square you get 4.

\((2)^2 = 4\)

\((-2)^2 = 4\)

There are two square roots of 4. Both 2 and -2, when squared, equal 4.

Answer 10

The square root symbol we use means not only the square root, it means the principal square root.
Since any positive number has a positive and a negative square root, the positive square root is called the principal square root.
The principal square root of 4 is 2.
The negative square root of 4 is -2.

Answer 11

Mathematicians agreed that the square root symbol means the principal square root.
That means that this is correct: \(\sqrt 4 = 2\), and this is incorrect: \(\sqrt 4 = -2\).
While it is true that 4 has a positive square root and a negative square root, when you use the radical symbol, you mean the positive square root.

Answer 12

So that means its option D, right?

Answer 13

@mathstudent55 ??

Answer 14

Am I correct?

Answer 15

Yes. D is correct.

Answer 16

Thanks. Could you check another answer for me?

Answer 17

When you take an even root of an unknown number, you must use the absolute value symbol to make sure it is the principal root.