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10 Cards in this Set

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  • Back

Explain why radical 3 and radical 27 really are like radicals.

Because radical 27 simplifies to 3 radical 3. So they have the same radicand and are like radicals.

Can radicals that have different radicans be added/subtracted?

No (unless simplifying makes them like radicals).

What is a radicand?

The number under the radical symbol.

How do you add/subract radicals that have (or are made to have) the same radicand?

Do the operation with the coefficients but leave the radicand the same.

What should I ask myself when trying to simplify a radical?

1)Is the radicand a perfect square


2) If not, then what is the largest perfect square that multiplies into the radicand.


3) Rewrite radicand as perfect square times #


4) Pull out the square root of the perfect square.

What is the distributive property?

a(b + c)= ab + ac or a(b - c) = ab - ac

Consider the term 4 radical 3. What do you call the 4 what do your call the 3?

4 is the coefficient


3 is the radicand

Do your radicals have to be like radicals to multiply them?

No, like radicals are only required to add/subract radicals.

Complete the property: a radical b times c radical d =

ac radical bd




multiply the coefficients


multiplied the radicans


see if the new radical (bd) can be simplified

Why is the following NOT TRUE?




RADICAL 9 = RADICAL 3

Because radical 9 = 3 (not radical 3)