# 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

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.

.

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.

.

.

Even index and power of radicand.

Even index and power of radicand.

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