Get the free Simplify by rationalizing the denominator - Burrill Brothers

HW22 Name Right Triangles Worksheet Simplify by rationalizing the denominator. 7 15 1. 2. 3 2 3. 15 5 4. Simplify. Leave your answer in simplified radical form. 1 3 1 2 21 7. 5. 6. 2 2 2 5 5 2 ×

How to fill out simplify by rationalizing form

How to fill out the simplify by rationalizing form:

1. Start by identifying the expression that needs to be simplified by rationalizing the denominator.
2. Write down the expression in its original form.
3. Look for a square root or cube root in the denominator of the expression. This is the part of the expression that needs to be rationalized.
4. Multiply both the numerator and the denominator of the fraction by the conjugate of the irrational term. The conjugate is the same expression but with the opposite sign.
5. Simplify the expression by multiplying out the numerator and the denominator using the distributive property.
6. Combine like terms in the numerator and simplify any additional operations if necessary.
7. Rewrite the expression in its simplified form without any square roots or cube roots in the denominator.

Who needs simplify by rationalizing form?

1. Students studying algebra or higher level mathematics often encounter rationalizing expressions.
2. Anyone who needs to simplify complex fractions or expressions involving irrational numbers will benefit from knowing how to rationalize the denominator.
3. Engineers, scientists, and economists who work with mathematical equations or formulas may need to use rationalizing techniques in their calculations.

Overall, anyone working with expressions that involve square roots or cube roots in the denominator can benefit from knowing how to fill out the simplify by rationalizing form.

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