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ASAP WILL GIVE BRAINLIESTWhich do you prefer: leaving 5–√ in radical form, or converting it to a decimal? Why? When would it be useful to use each?Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”

Sagot :

The number is √5.

We have two options:

• Leaving √5 in radical form, or

,

• Converting it to a decimal

And we have to say when it would be useful to use each.

We can say that:

1. Leaving √5 would be useful when, for example, this number is part of a previous calculation. If we convert this value to a decimal, we will increase the possible error in the correct answer. So it is important to maintain the value of the number in its radical form. It is very common when calculating the side of a triangle, or when using the Pythagorean Theorem - as a few examples.

2. Converting √5 to decimal would be useful when need to describe a practical measurement, for instance, the length of a segment, since the value for this number is as follows:

[tex]\sqrt{5}\approx2.236067977...[/tex]

And this number is an irrational number, that is, we cannot express this number as a fraction of two numbers. In that case, if we have that the length for measurement is √5, we can use the decimal form of the number as 2.24.

Therefore, in summary, we can conclude that:

• It would be useful to leave √5 in its radical form when we obtain this number as a previous result for a final answer - like a measurement - so we can avoid making an error for that final result. The final answer could be wrong if we do not use the exact value.

• It would be useful to convert √5 as a decimal when we need to describe a measurement in practice (2.24) since this is an irrational number, that is, we cannot represent it as a fraction of two rational numbers.

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