Question

6√2187 is simplified then order is​

Answer 1

Answer:

280.592230826

Step-by-step explanation:

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Answer 2

Answer:

The order is 162√3

Explanation:

The order of a surd: it is the indicator of the index of root to be extracted.

Simplifying an expression means that we need to reduce the expression in to as lowest form as possible.

For this we can use the method of factorization.

We will simplify 6√2187:

For that we will first factorize 2187:

2187=3×3×3×3×3×3×3

Now that we have made the factors of 2187, we will substitute it back to the expression so that we can get the order of the surd.

So, we can write it as :

6√3×3×3×3×3×3×3

=6×3×3×3√3

=162√3.

Therefore, we gat the order of 6√2187 as 162√3.

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