Question

State, whether the following number is rational or not :
`( [√7]/[6sqrt2])^2`

Answer 1

`( [√7]/[6sqrt2])^2`

= `( √7 )^2/( 6^2 xx √2)^2   ...[∵ (a/b)^2 = a^2/b^2]`

= `7/[ 36 xx 2 ]`

= `7/72`

`7/72` is rational Number

∴ `( [√7]/[6sqrt2])^2` is a rational Number.