in-3-18-write-each-number-in-terms-of-i-sqrt-81

Question

In $3-18,$ write each number in terms of $i$
$$
\sqrt{-81}
$$

Martha Richards · Accepted Answer

Okay, So this question is asking us to put Thescore air route of negative 81 into I format to imaginary number format. So what I&#x27;m gonna do is take out that negative one, and you can hopefully remember that an 81 is a perfect square. So nine times nine is 81. So this here is an eye and this is nine. So this is equal to nine. I

Martha Richards · Answer

Okay, So again, we&#x27;re gonna put a number here, the square root of negative eight into terms of I. So this one here is not a perfect squares. What we&#x27;re going to do is we&#x27;ll take that that negative one first. And that&#x27;s times. And we have to figure out to reduce this guy. We&#x27;ve got to figure out, um, what perfect squares we can get out of eight. And we do know that a four times two gives us eight right? Four times too. And so this here is a perfect squares awaken, say, is the square root of four times the square root of two. And so here that our answer is this becomes an eye. This year becomes too, and this stays in. And so what we get in the notation for this is to put the number first, followed by the eye and then followed by the radical so that we if we put the eye afterwards, we&#x27;re not really sure if the rat if the eye goes inside the radical or not. So this is the common notation that we use for when we have a radical

Jennifer Spoerke · Answer

The problem that we&#x27;re working on is the square root of negative nine. We&#x27;re gonna break this down into two different pieces the square root of negative one times nine which can be split again into the square root of negative one times the square root of nine. The square root of negative one is equal to the imaginary unit. I square root of nine is equal to three. Therefore, the square root of negative nine is equal. 23 I

Martha Richards · Answer

Okay, So our next problem here is putting negative square root of negative 72 into terms of I. So here again, we&#x27;re going to keep our negative, and then I&#x27;m going to take out that negative one, and then we have to think about perfect squares for 72. And the perfect square for this is 36 2 So if I do the 36 times the square root of two, this negative one becomes I. The 36 is six, and the square root of two gets to stay. And so I have a negative six times the square root of two.

Jennifer Spoerke · Answer

our problem. ISS the square root of negative four. This is going to get broken down into two different pieces. The square root of negative one times the square root of four. A square root of four is equal to two in the square root of negative one is equal toe I. Therefore, the square root of negative four is equal to Teoh.

Martha Richards · Answer

All right, So now we&#x27;re going to put a another number here that they&#x27;ve concocted into terms of I. So here they have a negative square root of negative 36. So we keep that negative sign, and then we have a square root of a negative one and 36 again is a perfect square. So we have the square root of 36. So then we have a negative, and this goes to ID. This is six. So we have a negative six, I

Problem

In $3-18,$ write each number in terms of $i$ $$ …

Problem 4 Easy Difficulty

In $3-18,$ write each number in terms of $i$
$$
\sqrt{-81}
$$

Answer

9$i$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Anna Marie V.

Caleb E.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

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9$i$

Algebra 2 and Trigonometry

Grace H.

Anna Marie V.

Caleb E.

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Absolute Value - Example 1

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Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Anna Marie V.

Caleb E.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry