Simpl ifying radicals

23 6 0
  • Loading ...
1/23 trang

Thông tin tài liệu

Ngày đăng: 01/12/2016, 16:22

Simplifying Radicals Perfect Squares 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 400 625 =2 16 =4 25 =5 100 = 10 144 = 12 LEAVE IN RADICAL FORM Perfect Square Factor * Other Factor = 4*2 = 20 = 4*5 = 32 = 16 * = 75 = 25 * = 40 = *10 = 10 2 LEAVE IN RADICAL FORM Perfect Square Factor * Other Factor 48 = 16 * = 80 = 16 * = 50 = 25 * = 25 125 = 25 * = 450 = 225 * = 15 5 + To combine radicals: combine the coefficients of like radicals Simplify each expression +5 −3 = +3 +4 −2 = 6+7 Simplify each expression: Simplify each radical first and then combine 50 − 32 = 25 * − 16 * = *5 − 3* = 10 − 12 = −2 Simplify each expression: Simplify each radical first and then combine 27 + 48 = * + 16 * = 3*3 + 5* = + 20 = 29 LEAVE IN RADICAL FORM Perfect Square Factor * Other Factor 18 = = 288 = = 75 = = 24 = = 72 = = Simplify each expression +5 −3 = 24 + 54 = − 32 = Simplify each expression + 20 = 18 + 32 = 28 − + 63 = * To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals Multiply and then simplify * 35 = 175 = 25 * = * = 56 = *14 = * 14 = 12 14 * 20 = 20 100 = 20 *10 = 200 ( 5) ( 7) = 5* = 25 = = 7* = 49 = = 8* = 64 = = x* x = x = ( 8) ( x) 2 x To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator 56 = 8= 4*2 = 2 This cannot be divided which leaves the radical in the denominator We not leave radicals in the denominator So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator = * 42 = 49 = 42 42 cannot be simplified, so we are finished This can be divided which leaves the radical in the denominator We not leave radicals in the denominator So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator = 10 * 2 10 = This cannot be divided which leaves the radical in the denominator We not leave radicals in the denominator So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator = 12 * 12 = 3 = 36 Reduce the fraction 3 = 6 X Y =X = Y3 6 P X Y 4X Y 25C D 10 = P2X3Y = 2X2Y = 5C4D10 X = X = Y X *X X = Y = Y Y Y PX Y = X Y = XY 12 X Y = 25C D = Y Y 5 * PXY PXY
- Xem thêm -

Xem thêm: Simpl ifying radicals , Simpl ifying radicals , Simpl ifying radicals

Gợi ý tài liệu liên quan cho bạn

Nạp tiền Tải lên
Đăng ký
Đăng nhập