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### High School Mathematics6.8 Square Roots and Algebraic Expressions Review

 1. A square root of x2 is denoted by Öx2 Öx2 = +x or-x. 2. For every x ÎR, x2 ³ 0. 3. Ö-5 and Ö -4 do not exist in the set of real number. Square root of a negative number is called an imaginary number. 4. Square roots of algebraic expressions can be found by three methods, they are (i) Inspection Method. (ii) Division Method. (iii) Method of undetermined coefficients. 5. If all the terms of an algebraic expression are of the same degree then such an expression is called a homogeneous expression. 6. An algebraic expression f(x,y) is two variables x and y is said to be a symmetric expression if f(x,y) = f(y,x). 7. Equation of the form ax2 + bx + c = where a¹ 0, b and cÎ Z is called a Quadratic Equation. Directions: Choose the correct answer.
 Q 1: Third degree homogeneous symmetric expression in x and y is _________.ax2 + bx2y + cxy2 + dy2ax3 + bx2y + cx2y2 + dy3ax3 + bx2y2 + cxy2 + dy3ax3 + bx2y + cxy2 + dy3 Q 2: The difference of two symmetric expression is a ___________.symmetric expressionnot a symmetric expression Q 3: Product of two homogeneous expression is a ________.homogeneous expressionnot a homogeneous expression Q 4: Square of the valiable x is _______.x2Ö x2 Q 5: The sum of two symmetric expression is a _______.symmetric expressionnot a symmetric expression Q 6: First degree homogeneous expression in x and y is _____.ax + byac * by Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!