Adding and Subtracting Adding and Subtracting RadicalsRadicals

***Simplifying Radicals WS Due******Simplifying Radicals WS Due***

BELL WORK- To turn inBELL WORK- To turn in

Adding and Adding and SubtractingSubtracting

To multiply or divide radicals they have to To multiply or divide radicals they have to have the same index (the little number have the same index (the little number before the root symbol)before the root symbol)

To add or subtract radicals they have to To add or subtract radicals they have to have the same index AND the same have the same index AND the same radicand (the number under the root radicand (the number under the root symbol)symbol)

Ex. 1: Ex. 1:

112116113

11)263(

117

Ex. 2: Ex. 2:

24237579

2)43(7)59(

75232479

Ex. 3: Find the exact measure of Ex. 3: Find the exact measure of the perimeter of the rectangle.the perimeter of the rectangle.

233

362

43864 P4363264 P

)233(2)362(2 PwlP 22

IMPORTANTIMPORTANT

If each radical in a radical expression is not If each radical in a radical expression is not in simplest formin simplest form, simplify them first., simplify them first.

Then use the distributive property, Then use the distributive property, whenever possible, to further simplify the whenever possible, to further simplify the expression.expression.

Ex. 4: Ex. 4:

752325987

352245277

310269 310220249

(Let’s do this part on the white board)(Let’s do this part on the white board)

Ex. 5: SimplifyEx. 5: Simplify

28273 72273

7473

71

485273 345333

32039

Ex. 6: Simplify.

Time to work!

Time to work!

1) Simplify the radicals if needed

2) Combine like terms (ones where the radical has the same index and radicand)