Example 1 · Multiply Radicals
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Answer:
Root GrafterRootkin · roots and radicals
Grafts roots together: multiplying square roots.
Multiply Square Roots
Multiplying square roots. In MathBound, the free Algebra I adventure game, Root Grafter asks these problems, and the only way past is to solve them.
Part of Radicals and More Functions: chapter 11 of the standard course.
10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.
What you will practice
- Multiply Radicals. Multiply square roots of integers and combine into a single radicand using the product property.
- Multiply and Simplify. Multiply two square roots where the resulting radicand is a perfect square.
- Multiply with Coefficients. Multiply a square root with a coefficient by a standard square root.
- Multiply with Variables. Multiply square roots containing variables and simplify the final result.
- Distribute Radicals. Multiply a single term radical into a binomial containing radicals or integers.
- Multiply Binomial Radicals. Multiply two binomial expressions containing radicals using the FOIL method and combine like terms.
- Multiply Conjugates. Multiply binomial conjugate pairs containing radicals to yield a rational number (Difference of Squares pattern).
- Square a Binomial. Square a binomial containing a radical and an integer.
Worked examples
Made by the game’s own question engine. Try each one, then open its steps.
Example 2 · Multiply and Simplify
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Answer:
Example 3 · Multiply with Coefficients
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Answer:
