 Grade 10 questions on how to use some important formuals to simplify radicals algebraic expressions with solutions are presented.

Important Formulas
A) If n and m are positive integers and n√y is a real number, then Examples
1) √5 is a real number and therefore 2)
3 √(-7) is a real number and therefore B) If n is an EVEN positive integer then Examples C) If n is an ODD positive integer then Examples Rewrite, if possible, the following expressions without radicals (simplify) Solutions to the Above Problems The index of the radical 3 is odd and equal to the power of the radicand. since √x is a real number, x is positive and therefore |x| = x.  is not a real number since -x
2 - 1 is always negative. .
The index 8 is even and equal to the power of the radicand. . . .
The index 10 of the radical is even and equal to the power of the radicand. .
The index 3 of the radical is odd and equal to the power of the radicand. . . Even index and power of radicand. Even index and power of radicand.

More High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers
More
Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
More
Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers
Author - e-mail