Question

Multiply and simplify the following products. V stands for radical.

Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)

Answer 1

(1) 9

(2)
`√(6)`

(3) 6(
`√(6)`)

Explanation:

From the question,

(1) (
`√(9)`)²

Applyin the law of multiplication of surds

(
`√(9)`)² = (

(2) (
`√(2)`)× (
`√(3)`) =

Also applying the the law of multiplication of surd

(
`√(2\\)`)×(
`√(3)`) = (
`√(6)`) ( This is an irational answer)

∴ (
`√(2)`)×(
`√(3)`) =
`√(6)`

(3) 2(
`√(2)`)×3(
`√(3)`)

Also applying the law of multiplication of surds i.e Multiply surds to surds and whole number to whole number

= 2×3×(
`√(2)`)×(
`√(3)`)

6×(
`√(6)`) = 6(