In the following, simplify using absolute values signs as needed. \sqrt{80s^{15}}

Marla Payton

Marla Payton

Answered question

2021-12-06

In the following, simplify using absolute values signs as needed.
80s15

Answer & Explanation

aquariump9

aquariump9

Beginner2021-12-07Added 40 answers

Given information: An expression is given as 80s15.
Calculations: We have been given an expression is 80s15.
To simplify the radical expressions by using absolute value as needed, we must know about the radical properties and the index value of root is even or odd as shown below:
We know that, (ab)m=ambm and the corresponding product property of radical expression is n{ab}=n{a}n{b}.
80s15 [Simplify the square root of 80s15 with radical properties]
16s145s [Rewrite 80s15=16s145s]
16s145s [By using radical property n{ab}=n{a}n{b}]
4|s7|5s [n{an}=|a|, if the value of index is even]
Hence, the simplification of 80s15 is 4|s7|5s

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