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Explain the difference between $-\sqrt{36}$ and $\sqrt{-36}$

$-\sqrt{36}$ is the negative square root of 36 which is $-6$$\sqrt{-36}$ is the square root of the number $-36,$ which is an imaginary number.

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Chapter 3

REAL NUMBERS AND RADICALS

Section 3

Simplifying Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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What are the square roots …

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Fill in the blanks.Sim…

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Explain why $\sqrt{36}$ is…

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Simplify.$$\sqrt{-…

Simplify the squares and s…

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What is the difference bet…

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Explain the difference bet…

Simplify the expression.

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Write in terms of $i$.…

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negatives. 36. Okay, well, the negative. The square root of 30 sex is gonna be equal to negative six, because taken the square root of 36 is six and that it basically have a negative one times the square root of 36 which is negative. One time sex, which is negative. Six. Um, however, the square root of negative 36 right is not a real number. This is going to be an imaginary number, which right, um, is gonna be all six I. But for us, you know, doesn't mean we're trying to explain the difference here and right, This is negative times. The square root of 36. That's negative. Six, but negative square root of negative 36 is not a real numbers. This would be an imaginary number. Or we could say that this is not an element. This is kind of meeting. This is not a part of the rial numbers. So the square of 13 83 6 is not a real number where negative two squared of 36 is just well, negative times six

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