Questions: Square roots of integers raised to even exponents

Transcript text: Square roots of integers raised to even exponents

Solution

Step 1: Evaluate the expression inside the square root for (a)

For part (a), the expression inside the square root is \((-2)^2\).

Step 2: Simplify the expression inside the square root for (a)

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

Step 3: Take the square root of the simplified expression for (a)

\[ \sqrt{4} = 2 \]

Step 4: Evaluate the expression inside the fourth root for (b)

For part (b), the expression inside the fourth root is \(1^4\).

Step 5: Simplify the expression inside the fourth root for (b)

\[ 1^4 = 1 \]

Step 6: Take the fourth root of the simplified expression for (b)

\[ \sqrt[4]{1} = 1 \]

Step 7: Apply the negative sign for (b)

(a) \(2\)
(b) \(-1\)

Was this solution helpful?

Unhelpful

Helpful