## Simplifying Radicals Expressions Questions 1

In this page simplifying radicals expressions questions 1 we are going to see solution of first question in the worksheet simplifying radicals expressions.

Question 1

√27 + √75 + √108 - √48

Solution

= √27 + √75 + √108 - √48

First we have to split the given numbers inside the radical as much as possible.  simplifying radicals expressions questions 1

=  √(3 x 3 x 3) + √(3 x 5 x 5) +

√(3 x 3 x 2 x 2 x 2) - √(2 x 2 x 2 x 2 x 2)

=  3 √3 + 5 √3 + 2 x 3 √2 - 2 x 2 √2

=  3 √3 + 5 √3 + 6 √2 - 4 √2

= (3 + 5) √3 + (6-4) √2

= 8 √3 + 2 √2                 simplifying radicals expressions questions 1

 Question 2 Simplify the following radical expression 7√30 + 2√75 + 5√50 Solution Question 3 Simplify the following radical expression √27 + √105 + √108 + √45 Solution Question 4 Simplify the following radical expression √45 + 3√20 + √80 - 4√40 Solution Question 5 Simplify the following radical expression 3√5 + 2√95 + 3√117 - √78 Solution Question 6 Simplify the following radical expression 3 √32 - 2√8 + √50 Solution Question 7 Simplify the following radical expression 2 √12 - 3√27 - √243 Solution Question 8 Simplify the following radical expression √54 - √2500 - √24 Solution Question 9 Simplify the following radical expression √45 - √25 - √80 Solution Question 10 Simplify the following radical expression 5√95 - 2√50 - 3√180 Solution

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