Week 3.2 Nov. 17 Simplifying Square Roots and Radicals

Why do math teachers prefer answers to be in the "simplest form"?

• It makes the answer technically correct.

• Simpler forms are clearer and more helpful.

• It prevents the use of calculators.

• It's a rule specific to square roots.

Which rule allows you to combine or uncombine square roots like √A × √B = √(A × B)?

• The distributive property.

• The associative property.

• The rule for square roots.

• The commutative property.

What does it mean to simplify a root according to mathematical conventions?

• Converting it to a decimal value using a calculator.

• Finding any factors under the radical sign that simplify to a whole number and bringing them out.

• Rewriting the root as a fraction.

• Expressing the root as a sum of two numbers.

What is the key step to simplify a square root by finding perfect squares within the number under the radical sign?

• Rounding the number to the nearest whole number.

• Multiplying the number by itself.

• Factoring the number.

• Dividing the number by 2.

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What is the simplified form of the square root of 180?

• 3√20

• 6√5

• 2√45

• 5√6

What is the simplified form of the square root of 72?

• 3√8

• 6√2

• 2√18

• 4√3

What is the simplified form of the cube root of 72?

• 2∛9

• 3∛8

• 6∛2

• 2∛3

How is the fraction 3/√2 rewritten to remove the radical from the denominator?

• 3√2 / 4

• 3√2 / 2

• √2 / 3

• 3 / 2√2