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ACT Preparation / Unit 7   ACT 0611 short lesson, about 20 seconds

Like Radicals

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The idea

Radicals can be added or subtracted only when they have the same radicand and the same index; then the coefficients combine, as with like terms.

In practice

3√5 + 2√5 = 5√5; √12 + √3 = 2√3 + √3 = 3√3.

Where people slip

Simplify first: √12 and √3 look unlike until √12 becomes 2√3.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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