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 -x2 - 1 is always negative.
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The index 8 is even and equal to the power of the radicand.
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The index 10 of the radical is even and equal to the power of the radicand.
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The index 3 of the radical is odd and equal to the power of the radicand.
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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
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