Simplify : \(\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{(0.006)^2 + (0.04

1.	Simplify : \(\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{(0.006)^2 + (0.047)^2 + (0.0079)^2}\)
Answer» Given exp. = \(\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{\big(\frac{0.06}{10}\big)^2 +\big(\frac{0.47}{10}\big)^2+\big(\frac{0.079}{10}\big)^2}\) = \(100\bigg[\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{(0.06)^2 + (0.47)^2 + (0.079)^2}\bigg] = 100.\)

Simplify : \(\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{(0.006)^2 + (0.047)^2 + (0.0079)^2}\)

Answer»

Given exp. = \(\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{\big(\frac{0.06}{10}\big)^2 +\big(\frac{0.47}{10}\big)^2+\big(\frac{0.079}{10}\big)^2}\)

= \(100\bigg[\frac{(0.06)^2 + (0.47)^2 + (0.079)^2}{(0.06)^2 + (0.47)^2 + (0.079)^2}\bigg] = 100.\)