Tham khảo tài liệu 'acing the gre_06', ngoại ngữ, toefl - ielts - toeic phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | THE GRE QUANTITATIVE SECTION Perfect Squares The square root of a number might not be a whole number. For example the square root of 7 is . It is not possible to find a whole number that can be multiplied by itself to equal 7. A whole number is a perfect square if its square root is also a whole number. Examples of perfect squares 1 4 9 16 25 36 49 64 81 100 . Properties of Square Root Radicals The product of the square roots of two numbers is the same as the square root of their product. Example v h X Vb Va X b 5 X 3 VĨ5 The quotient of the square roots of two numbers is the square root of the quotient. Example vã Vb b b 0 The square of a square root radical is the radicand. Example vn 2 n Vb 2 Vã- 3 v 9 3 To combine square root radicals with the same radicands combine their coefficients and keep the same radical factor. You may add or subtract radicals with the same radicand. Example aVb cVb a c Vb 4V3 2 V3 6V3 Radicals cannot be combined using addition and subtraction. Example Va b Vã Vb V4 11 V4 Vn 164 -------------------------- THE GRE QUANTITATIVE SECTION ----------------------------------- To simplify a square root radical write the radicand as the product of two factors with one number being the largest perfect square factor. Then write the radical of each factor and simplify. Example 8 V4 X V2 2V2 Ratio The ratio of the numbers 10 to 30 can be expressed in several ways for example 10 to 30 or 10 30 or JO 30 Since a ratio is also an implied division it can be reduced to lowest terms. Therefore since both 10 and 30 are multiples of 10 the above ratio can be written as 1 to 3 or 1 3 or 1 3 Algebra Review Congratulations on completing the arithmetic section. Fortunately you will only need to know a small portion of algebra normally taught in a high school algebra course for the GRE. The following section outlines only the essential concepts and skills you will need for success on the GRE Quantitative section. Equations An equation is solved by .
