Hits: 71
Hits: 71 Question a. Express in the form , where m and n are integers. b. Solve the equation giving your answer in its simplest form. Solution a. We are given; If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below. ü If the […]
Hits: 30 Question a. Simplify . b. Express in the form , where m and n are integers. Solution a. b. If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below. ü If the denominator is of the form then multiply both numerator and […]
Hits: 32 Question A rectangle has length cm and area cm2. Find the width of the rectangle, giving your answer in the form cm, where m and n are integers. Solution Expression for the area of the rectangle is; For the given case; If we need a rational number in the denominator of a fraction, we need to follow procedure of […]
Hits: 21 Question a. i. Express in the form , where k is an integer. ii. Solve the equation giving your answer in its simplest form. b. Express in the form , where m is an integers. Solution a. […]
Hits: 29 Question a. i. Express in the form , where k is an integer. ii. Simplify . b. Express in the form , where m and n are integers. Solution a. i. We are given; Since ; ii. Since ; Since ; b. […]
Hits: 32 Question Express in the form , where m and n are integers. Solution We are given; If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below. ü If the denominator is of the form then multiply both numerator and denominator by . ü If the […]
Hits: 20 Question a. i. Simplify . ii. Show that is an integer and find its value. iii. Simplify , giving your answer as an integer. b. Express in the form , where m and n are integers. Solution a. i. We are given; ii. We […]
Hits: 16 Question a. i. Express in the form , where k is an integer. ii. Simplify , giving your answer as an integer. b. Express in the form , where m and n are integers. Solution a. i. We are given; Since ; ii. Since ; Since ; […]
Hits: 14 Question a. Simplify . b. Express in the form Solution a. We are given; b. We are given the expression; If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below. ü If the denominator is of the form then multiply both numerator and […]
Hits: 23 Question a. Express in the form , where m and n are integers. b. Hence express in the form , where p and q are integers. Solution a. We have algebraic formula; For the given case; b. We are given the expression; We have found in (a) that; Therefore; If we need a rational number in […]
Hits: 17 Question a. Show that is an integer and find its value. b. Express in the form , where m and n are integers. Solution a. We are given the expression; If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below. ü If the […]
Hits: 8 Question a. Express in the form , where m and n are integers. b. The diagram shows a right-angled triangle. The hypotenuse has length cm. The other two sides have lengths cm and x cm. Find the value of x. Solution a. We are given the expression; We need to rationalize the denominator. If we need a rational […]
Hits: 16 Question a. Express in the form , where m and n are integers. b. Express in the form , where k is an integer. Solution a. We are given the expression; We have algebraic formula; Since b. We are given the expression; Since ; Since ;
Hits: 33 Question It is given that and . Find, in the simplest form, the value of : a. b. c. . Solution a. We are given that and . b. We are given that and . c. We are given that and . We have the algebraic formula; From (a) we have; Therefore;
Hits: 17 Question a. Express in the form where is an integer. b. Express in the form , where and are an integers. Solution i. We are given; ii. We are given; We have algebraic formulae;
Hits: 24 Question a. Express in the form , where is an integer. b. Express in the form , where and are integers. Solution a. b. We have algebraic formula;
Hits: 40 Question a. Express in the form of , where and are integers. b. i. Express in the form , where n is an integer. ii. Solve the equation giving your answer in its simplest form. Solution a. We are given; If we need a rational number in […]
Hits: 37 Question The curve with equation is sketched below. The curve crosses the x-axis at the origin and the point lies on the curve. a. i. Find ii. Hence show that the curve has a stationary point when and find the x-coordinate of the other stationary point. b. […]
Hits: 20 Question a. Express in the form , where and are integers. b. Show that Express is an integer and find its value. Solution a. We are given; We can do simple algebraic multiplication; b. Since ; Since ;
Hits: 16 Question a. Simplify . b. Express in the form , where is an integer. Solution a. We have algebraic formula; For the given case; b. Since ; Since ; Comparing with gives us;