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Texts: Some of the radicals below are like terms, while others are not: √2, -3√2, 2√3, 5√2, 2√5, √32 List the Like Terms here: - √2 and 5√2 - -3√2 and 2√5 3b) Combine those like terms to write one single simplified radical (do not type!): √2 + 5√2 = 6√2 -3√2 + 2√5 = -√2 + 2√5 3c) Explain why the leftover terms are NOT like terms with the others: The leftover terms, 2√3 and √32, are not like terms with the others because they have different radicands. The radicand is the number inside the square root symbol. In this case, the radicand of 2√3 is 3, while the radicand of √32 is 32. Since the radicands are different, these terms cannot be combined.

          Texts: Some of the radicals below are like terms, while others are not: √2, -3√2, 2√3, 5√2, 2√5, √32

List the Like Terms here:
- √2 and 5√2
- -3√2 and 2√5

3b) Combine those like terms to write one single simplified radical (do not type!):

√2 + 5√2 = 6√2
-3√2 + 2√5 = -√2 + 2√5

3c) Explain why the leftover terms are NOT like terms with the others:

The leftover terms, 2√3 and √32, are not like terms with the others because they have different radicands. The radicand is the number inside the square root symbol. In this case, the radicand of 2√3 is 3, while the radicand of √32 is 32. Since the radicands are different, these terms cannot be combined.

Added by John S.

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