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High School Mathematics
6.8 Square Roots and Algebraic Expressions Review

1. A square root of x2 is denoted by x2
x2 = +x or-x.

2. For every x R, x2 0.

3. -5 and -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 a 0, b and c 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 + dy2
ax3 + bx2y + cx2y2 + dy3
ax3 + bx2y2 + cxy2 + dy3
ax3 + bx2y + cxy2 + dy3

Q 2: The difference of two symmetric expression is a ___________.
symmetric expression
not a symmetric expression

Q 3: Product of two homogeneous expression is a ________.
homogeneous expression
not a homogeneous expression

Q 4: Square of the valiable x is _______.
x2
x2

Q 5: The sum of two symmetric expression is a _______.
symmetric expression
not a symmetric expression

Q 6: First degree homogeneous expression in x and y is _____.
ax + by
ac * by

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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