To calculate: \sqrt{\frac{x}{8}} The simplified value of the radical expression.

Ernstfalld 2021-08-06 Answered
To calculate: x8
The simplified value of the radical expression.
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Expert Answer

FieniChoonin
Answered 2021-08-07 Author has 102 answers

Step 1
Formula used:
The relation between radical and rational exponent notation is expressed as,
an=a1/n
Here, a is the radicand, and n is the index of the radical.
(an)m=amn
=amn
The product rule for radicals,
abnanbn
The quotient rule for radicals,
n{ab}=n{a}n{b}
Step 2
Consider the given expression,
x8
Use the relation between radical and rational exponent notation to simplify the expression,
x8=(x8)12
=(x42)12
=x12(4)12(2)12
=x12(22)12(2)12
Further simplify by using the product rule and quotient rule for radicals,
x8=x22
=x22×22
=x2222
=2x4
Hence, the simplified value of the provided expression is 2x4

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Jeffrey Jordon
Answered 2021-10-29 Author has 2027 answers

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