SIMPLIFYING RADICAL EXPRESSIONS WORKSHEET

In this page simplifying radicals expressions worksheet we are going to see some practice questions for practicing the concept radical expression.

A symbol used to indicate square of any number is called radical. The number which is under the root is called radicand.

    √3 is called square root of 3. 

Example 1:

Simplify 72 to the simplest form

To reduce this number to the simplest form we need to split this number as much as possible.

√72 = √(2 x 2 x 2 x 3 x 3)

If any two numbers which are in the root we can take one of them out of the root.

Here we have 2 and 3 twice. So we can take one from the root.

       = 2 x 3 √2

       = 6 √2

Now we are going to see practice questions. If you are not able to do any of the problems you can just click the solution. In the solution page you can find solution for each problems with detailed explanation. Once you understand the concept you can try the next question on your own.


Questions

Solution


Question 1

Simplify the following radical expression

√27 + √75 + √108 - √48



(A) 2 √3 + √2
(B) 5 √3 + √2
(C) 8 √3 + 2 √2



Question 2

Simplify the following radical expression

7√30 + 2√75 + 5√50 



(A) √30+5√3+5√2
(B) 5√3+5√2
(C) √30+5√2



Question 3

Simplify the following radical expression

√27 + √105 + √108 + √45



(A) 4√3
(B) 4√3+√105
(C) √3-5√2



Question 4

Simplify the following radical expression

√45 + 3√20 + √80 - 4√40



(A) 9√5-2√10
(B) 11√15
(C) 9√5



Question 5

Simplify the following radical expression

3√5 + 2√95 + 3√117 - √78



(A) 2√95+√78
(B) 2√95+9√13-√78
(C) 3√5+2√95+9√13-√78



Question 6

Simplify the following radical expression

3 √32 - 2√8 + √50



(A) 9√2
(B) 13√2
(C) 3√2



Question 7

Simplify the following radical expression

2 √12 - 3√27 - √243



(A) 4 √3
(B) 14 √3
(C) -14 √3



Question 8

Simplify the following radical expression

√54 - √2500 - √24



(A) -√6 - 50
(B) -5√6 - 50
(C) -2√6 - 5



Question 9

Simplify the following radical expression

√45 - √25 - √80



(A) - √5 - 3
(B) - √5 - 5
(C) - 2√5 + 5



Question 10

Simplify the following radical expression

5√95 - 2√50 - 3√180



(A) 5√95-10√2-18√5
(B) 5√95-18√5
(C) -10√2-18√5




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: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

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Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”simplifying radicals expressions worksheet simplifying radicals expressions worksheet  simplifying radicals expressions worksheet

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