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 FormulasA) If n and m are positive integers and n√y is a real number, then

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


C) If n is an ODD positive integer then


Questions With Answers
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.
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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.
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