Math

QuestionIs the expression 16-\sqrt{16} a real number? If yes, evaluate it.

Studdy Solution

STEP 1

Assumptions1. The radical expression is 16-\sqrt{16}

STEP 2

We need to determine if the expression under the square root, which is16, is a positive number or zero. If it is, the square root is a real number. If it is negative, the square root is not a real number.

STEP 3

In this case, the number under the square root is16, which is a positive number. Therefore, the square root of16 is a real number.

STEP 4

Now, we can evaluate the square root of16.
16=4\sqrt{16} =4

STEP 5

However, we have a negative sign in front of the square root. Therefore, the value of the expression 16-\sqrt{16} is the negative of the square root of16.
16=4-\sqrt{16} = -4So, the value of the expression 16-\sqrt{16} is -4.

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