Algebra II: Multiplication of square roots and radicals
This is a free lesson from our course in Algebra II
In this lesson you'll explore the concept from multiplication of square roots and radicals. All this is explained with the help of video and audio presentation in own hand writing by the instructor using some examples.
Steps to multiply are:
multiply the coefficients. Follow the usual sign rules to determine if the new coefficient should be positive or negative.
multiply the radicands. Radicands are always positive.
simplify the radicand to remove any factors that are perfect squares.
We use the fact that the product of two radicals is the same as the radical of the product, and vice versa. (More text below video...)
<h2> Multiplication of square roots and radicals - Watch video (Algebra II)</h2> <p> square, roots, radicals, AlgebraII, online math, multiply square roots, binomial, coefficient, roots, factors, video, math help, radicand, radicals, under root, square root, roots, perfect square, radical sign, practice questions, quizzes.</p> <p> To multiply square roots of radicals we have to multiply the coefficient and multiply the radicals, and then simplify the given expression.</p>
Other useful lessons:
Simplifying square roots and radicals
Addition and Subtraction of square roots and radicals
Dividing square roots and radicals
Solving radical equations
(Continued from above) E.g. Multiplication of two radicals i.e. 4 6 and 11 3, results in 1322. The distributive law can be used to multiply any expression by a monomial. FOIL method can be used to multiply two binomial expressions. E.g. Multiplication of two binomials (5 + 3) (2 + 5) = 10 + 5 5 + 2 3 + 15.
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