powerpoint presentaton

2. Multiplication of Radicals
In multiplying radicals, there are three cases to be
considered:
a. indices are the same;
b. indices are different, but the radicands are the same; and
c. indices and radicands are different.
A. Same Indices
Examples:
1. 6 . 14 = 6. 14
= 84
= 4 . 21
= 2 21

3. 2. 3a 𝟑 . 4a 𝟔 3.
𝟑
𝟒𝒙𝟐𝒚 . 𝟑
(𝟐𝒙𝟐𝒚𝟓)
= (3a. 4a) 3 . 6
= 12a2 18
= 12a2 9 . 2
= 12a2 (3) 2
= (12a2 . 3) 2
= 36a2 𝟐
= 3
(4𝑥2𝑦)(2𝑥2𝑦5)
= 3
8𝑥4𝑦6
= 3
8𝑥3𝑦6 . 3
𝑥1
= 2xy2 𝟑
𝒙

4. 4. 𝟕𝒂𝟐𝒃 . 𝟒𝟐𝒂𝟑𝒃𝟐
5.
𝟑
𝟏𝟔𝒙𝟐 . 𝟑
𝟒𝒙𝟐𝒚𝟐 +
𝟑
𝟐𝒙𝟒
= 7𝑎2𝑏 . 42𝑎3𝑏2
= 294𝑎5𝑏3
= 49𝑎4𝑏2 . 6𝑎1𝑏1
= 7a2b 𝟔𝒂𝒃
8= 3
(16𝑥2)(4𝑥2𝑦2) + 3
(16𝑥2)(2𝑥4)
= 3
64𝑥4𝑦2 +
3
32𝑥6
= (
3
64𝑥3 . 3
𝑥1𝑦2) + (
3
8𝑥6 .
3
4)
= 4x 𝟑
𝒙𝒚𝟐 + 2x2 𝟑
𝟒
Multiply 2 𝟏𝟖 . 3 𝟖