Rewriting Roots (Level 1)

This math topic focuses on the skill of rewriting square roots of negative numbers as complex numbers, particularly using the imaginary unit "i". Problems involve calculating the complex form of given roots and simplifying where possible. Each problem provides practice on recognizing and converting negative radicands into their corresponding imaginary number equivalents, clearly demonstrating an understanding of the basics of complex numbers. The various sub-answers under each question offer multiple examples of this conversion process, which solidifies the concept of expressing square roots of negative numbers in terms of "i".

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Rewriting Roots

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Rewrite the root as a complex number and simplify all radicals

16\sqrt{-16}

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Complex Numbers - Rewriting Roots Worksheet

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Math worksheet on 'Complex Numbers - Rewriting Roots (Level 1)'. Part of a broader unit on 'Complex Numbers' Learn online: app.mobius.academy/math/units/complex_numbers/
1
Rewrite the root as a complex number and simplify all radicals
A LaTex expression showing square root of -9
a A LaTex expression showing 3i
b A LaTex expression showing 2isquare root of 2
c A LaTex expression showing 2i
d A LaTex expression showing i
e A LaTex expression showing isquare root of 3
f A LaTex expression showing isquare root of 4
2
Rewrite the root as a complex number and simplify all radicals
A LaTex expression showing square root of -4
a A LaTex expression showing 2i
b A LaTex expression showing i
c A LaTex expression showing 2isquare root of 3
d A LaTex expression showing 5i
e A LaTex expression showing 4i
f A LaTex expression showing 3i
3
Rewrite the root as a complex number and simplify all radicals
A LaTex expression showing square root of -16
a A LaTex expression showing 2i
b A LaTex expression showing 4i
c A LaTex expression showing 7i
d A LaTex expression showing 3i
e A LaTex expression showing i
f A LaTex expression showing 5i
4
Rewrite the root as a complex number and simplify all radicals
A LaTex expression showing square root of -25
a A LaTex expression showing 7isquare root of 3
b A LaTex expression showing i
c A LaTex expression showing 8isquare root of 4
d A LaTex expression showing 6i
e A LaTex expression showing 2i
f A LaTex expression showing 5i