Adding and Subtracting Square Ro

Adding and Subtracting Square Roots

Example 1
Simplify.

Example 2
Simplify the square roots, then combine like radicals.

Example 3
Simplify the square roots, then combine like radicals .

Example 4
Simplify the square roots , then combine like radicals .

Example 5
Explain the mistake, then simplify correctly.

Example 6
Find the perimeter of the figure.

Example 7
Multiply .

Example 8
Multiply .

Example 9
Multiply.

Example10
Multiply.

Rationalizing a Denominator Containing a Sum or Difference
Multiply the numerator and denominator by the conjugate of the
denominator .

Example 11
Rationalize the denominator and simplify .

Example 12
Rationalize the denominator and simplify .