# Radical Expressions Questions with Solutions for Grade 10

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

## Questions

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.

## Links and References

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