Show that x is rational, if : (i) x^2 = 16 (ii) x^2 = 0.0004 (iii) x^2 = 1(7/9)

Question

Show that x is rational, if : (i) x^2 = 16 (ii) x^2 = 0.0004 (iii) x^2 =  1(7/9)

KnowledgeBoat · Accepted Answer

(i) Given, ⇒ x² = 16 ⇒ x = ⇒ x = . Integers are considered as rational numbers. Hence, proved that x is rational. (ii) Given, ⇒ x² = 0.0004 ⇒ x = ⇒ x = . Terminating decimals are considered as rational numbers. Hence, proved that x is rational. (iii) Given, ⇒ x² = ⇒ x² = ⇒ x = ⇒ x = = 1.333..... Recurring decimals are considered as rational number. Hence, proved that x is rational.

Mathematics

Show that x is rational, if : (i) x^2 = 16 (ii) x^2 = 0.0004 (iii) x^2 = 1(7/9)

Rational Irrational Nos

Related Questions

Show that x is irrational, if :
(i) x² = 6
(ii) x² = 0.009
(iii) x² = 27

Mathematics

Show that x is rational, if : (i) x^2 = 16 (ii) x^2 = 0.0004 (iii) x^2 = 1(7/9)

Rational Irrational Nos

Related Questions

Show that x is irrational, if :(i) x2 = 6(ii) x2 = 0.009(iii) x2 = 27

Show that x is irrational, if :
(i) x² = 6
(ii) x² = 0.009
(iii) x² = 27