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Operations with radicals

Mathematics — first biennium · Lesson

Biennium · Common core

Operations with radicals

Like radicals combine like terms: keep the radicand and combine coefficients. Simplify radicals before deciding whether they are like.

Key idea
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Similar example
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Prerequisites: Simplifying radicals

Goal: Operate with like radicals and recognize valid reductions.

What you need to know before the exercises

In this lesson: Operate with like radicals and recognize valid reductions.

How to proceed: Check that the radicals are like after simplification; then operate only on their coefficients.

You can already assume: Simplifying radicals.

Try it now

Reduce the expression while keeping coefficient and radicand separate.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Check that the radicals are like after simplification; then operate only on their coefficients.

Data / situation: 3√7+1√7

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Your competency map

What you need to know for Operations with radicals

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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