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Please help me simplify these radicals without decimals

Please help me simplify these radicals without decimals-example-1
User Stusmith
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2 Answers

4 votes

Hi There

6) √72 = 6√2

7) √98 = 7√2

8) √8= 2√2

9) √12= 2√3

10) √175 = 5√7

11) √216= 6√6

12) √192= 8√√3

13) √343 = 7√7

14) √32= 4√2

15) √28= 2√7


Hint : The first thing you need to find is the largest perfect square witch will divide evenly into the number under your radical sign .


I hope that's help !

User Vivek Parmar
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6.9k points
7 votes
6) √72= √3*25= √3*2*12= √3*3*2*2*2 =3*2√2 =6√2
(just break down the numbers until they are prime numbers. )
8) √8=2√2
10) √175= 5√7
12) √192= 8√3
14) √32= 4√2
User Btmills
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6.9k points