## Simplifying Radicals Expressions Questions 7

In this page simplifying radicals expressions questions 7 we are going to see solution of first question in the worksheet simplifying radicals expressions.

Question 7

2 √12 - 3√27 - √243

Solution

= 2 √12 - 3 √27 - √243

First we have to split the given numbers inside the radical as much as possible.

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

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

=  4 √3 - 9 √3 - 9 √3

= ( 4 - 9 - 9 ) √3

= -14 √3

 Question 1 Simplify the following radical expression √27 + √75 + √108 - √48 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 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

Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: