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Square roots of negative numbers worksheet 2025

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The document consists of worksheets for Algebra II & Trigonometry focusing on imaginary numbers, specifically square roots of negative numbers, powers of i, and arithmetic operations on complex numbers. It includes exercises that require students to express negative square roots in terms of 'i', simplify powers of 'i', and perform various arithmetic operations involving complex numbers.

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What is the value of the square root minus 25?

0:00 1:15 And I like to use a factor tree. So Im going to begin with 25. And it is five * 5 thats the factorMoreAnd I like to use a factor tree. So Im going to begin with 25. And it is five * 5 thats the factor tree. Now I can rewrite the square root of 25. Like this the square of 25.

What is the square root of 16 negative?

0:00 0:50 Each of these factors. This way so the square root of 16. Again is both positive and negative 4. AndMoreEach of these factors. This way so the square root of 16. Again is both positive and negative 4. And the square root of negative 1 is I by definition. So were talking about imaginary numbers.

What is the square root of 25 negative?

Thus, the square root of 25 is both 5 and 5, we choose the positive or the negative root as per the requirement of the problem. Check out the properties of perfect square numbers.

How do I find the square root of a negative number?

Any number squared will produce a positive number, so there is no true square root of a negative number. Square roots of negative numbers can only be determined using the imaginary number called an iota, or i.

What is a negative square root of 81?

0:00 1:22 So this is equal to I times the square root of 81 which is 9. But this looks really weird no oneMoreSo this is equal to I times the square root of 81 which is 9. But this looks really weird no one really leaves their answer like this. So now what you want to do is write this like this 9i.

simplifying negative square roots worksheet

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