Simplifying Radicals

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Simplifying Radicals
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A radical expression is in simplest form when

• The expression under the radical sign has no
  perfect square factors other than 1.
• The expression under the radical sign does not
  contain a fraction.
• The denominator does not contain a radical
  expression.

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To simplify a radical

• Find the prime factorization of the number under
  the radical.
• For example

• Put like factors in pairs.

• Find the square root of the pairs and place it
  outside the radical.

• Multiply numbers on the outside of the radical
• and multiply numbers on the inside.

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Example 1
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Example 2
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Example 3
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Try these