Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Write a rule for multiplying two radicals with the same radicand. Justify why your rule works

Sagot :

torreyem

If you think of the radicand as a product of two factors (here, thinking about 64 as the product of 16 and 4), you can take the square root of each factor and then multiply the roots. The end result is the same, .

This should be a familiar idea. You have applied this rule when expanding expressions such as (ab)x to ax • bx; now you are going to amend it to include radicals as well. Imagine that theexponent x is not an integer but is a unit fraction, like , so that you have the expression . According to the Product Raised to a Power Rule, this can also be written , which is the same as , since fractional exponents can be rewritten as roots. So, for the same reason that , you find that .

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.