# Linear Algebra Examples

Step 1

Use the formula to find the magnitude.

Step 2

Raise to the power of .

Step 3

Apply the product rule to .

Step 4

Raise to the power of .

Step 5

Step 5.1

Use to rewrite as .

Step 5.2

Apply the power rule and multiply exponents, .

Step 5.3

Combine and .

Step 5.4

Cancel the common factor of .

Step 5.4.1

Cancel the common factor.

Step 5.4.2

Rewrite the expression.

Step 5.5

Evaluate the exponent.

Step 6

Multiply by .

Step 7

Add and .

Step 8

Rewrite as .

Step 9

Pull terms out from under the radical, assuming positive real numbers.