Question

Find the sub-triplicate ratio of 64a³ : 343b⁶.

Answer 1

The sub-triplicate ratio of 64a³ : 343b⁶  is calculated by taking the cube root of each term.

64a³ = `root3 (64a^3)`

= `root3 64 xx root3 (a^3)`

= 4 × a

= 4a

343b⁶ = `root3 (343b^6)`

= `root3 343 xx root3 (b^6)`

= 7 × b²

= 7b²

∴ The sub-triplicate ratio of 64a³ : 343b⁶ is 4a : 7b².