Math, asked by muktaathene, 10 months ago

Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction
StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction
StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction
StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction

Answers

Answered by AditiHegde

Given:

StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction

StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction

StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction

StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction

To find:

Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?

Solution:

From given, we have,

StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot ⇒ √4√6/√3√2

∴ √4√6/√3√2 = 2

Given options are:

StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction ⇒ √12√27/2

∴ √12√27/2 = 9

StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction ⇒ √4√24/2

∴ √4√24/2 = 2√6

StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction ⇒ √12√55296/2

∴ √12√55296/2 = 288√2

StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction ⇒ √12√177147/3

∴ √12√177147/3 = 486

Therefore, none of the expressions given in the options is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot.

Answered by ay078

Answer:

its B on edge

Step-by-step explanation:

Previous Question

Next Question