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2 years ago

What is the simplified form of 162

Mathematics

1 answer:

SashulF [63]2 years ago

5 0

Answer:

9 √ 2

Step-by-step explanation:

1. Rewrite 162 as $9^{2}$ ⋅2

2. factor 81 out of 162

$\sqrt{81 (2)}$

3. Rewrite 81 as $9^{2}$

$\sqrt{9^{2}.2 }$

4. Pull the terms from under the radical

$\sqrt[9]{2}$

I hope this helps :)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The best way to solve this problem is using dimensional anaysis. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.

$\frac{20km}{1hr}$

We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.

$= \frac{20km}{1hr} *\frac{1000m}{1km} ...$

We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.

$= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}$

We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.

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2 years ago