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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: First degree homogeneous expression in x and y is _____.ac * byax + by Q 2: The difference of two symmetric expression is a ___________.symmetric expressionnot a symmetric expression Q 3: Square of the valiable x is _______.x2Ö x2 Q 4: Third degree homogeneous symmetric expression in x and y is _________.ax3 + bx2y + cxy2 + dy3ax2 + bx2y + cxy2 + dy2ax3 + bx2y2 + cxy2 + dy3ax3 + bx2y + cx2y2 + dy3 Q 5: Numbers of the form Ö-6, Ö-5 and Ö-7 are called ________.Real numbersimaginary numbers Q 6: Product of two homogeneous expression is a ________.homogeneous expressionnot a homogeneous expression Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!