4x/sqrt(10)
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Answers:
The problem with 4x /√10 is that there is a radical in the denominator. This is not considered simplest form in mathematics. We must somehow get the √10 out of the denominator without changing the value of the fraction.
Remember that if you multiply a number by 1, you do not change its value. Notice that √10 /√10 is equivalent to 1. So, we will multiply 4x /√10 by √10 /√10.
The unsimplified result is 4x*√10 /√10*√10. The denominator can now be expressed as a whole number! √10*√10 = √100, which is 10.
So now we have 4x√10 /10. Almost done! Notice that we have a 4 in the numerator and a 10 in the denominator. 4/10 can be simplified to 2/5.
Simplified completely, your final result is:
2x√10 /5
to rationalize you need to mulitplty top and bottom by sqrt(10)
so it's (4x)sqrt(10)/10
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