in-3-41-express-each-product-in-simplest-form-variables-in-the-radicand-with-an-even-index-are-no-26

Question

In $3-41$ , express each product in simplest form. Variables in the radicand with an even index are non-negative.
$$
\sqrt{5 a}(\sqrt{5 a}-3)
$$

M S · Accepted Answer

Some have to square 258 times square to buy they minus three. So because we have parentheses here and distribute So this times this and because they&#x27;re the same the radical just cancel out. So we just have five a and I will multiply. This times are three. So have minus three times is very 58 and us, as far as you&#x27;ve been simplified it.

M S · Answer

So we have one place 35 times three minus the square root of. So this is sort of like oiling little ball of the same pattern. So the first time supper. So we have one times three. Would you give this three outer scare the bottoms? One who could give those straight of five. But it&#x27;s negative. So minus required. The owner turns took place three times, scary to five. And then finally, the last turn the cause of times and I need it will give us a negative and a spirit if eyes on the skirt five because they&#x27;re the same, it&#x27;s just not again a spot that radical counsel&#x27;s out and there are a lot of super can simplify further and we can So we have three and negative 53 minus spot would give us needed to You will have negative to Lina scurrying by loose three different spots. And if you notice we have the same radical here and here and this isn&#x27;t understood one here. So we can combine these two so have negative too. And negative Born plus three will give us two So negative two planets to Route five. All I did was combined the coefficient here. Anna coefficient Here, get radical. Listen departed

M S · Answer

way have the square root of Bob. I&#x27;m scared of 45. We want to express this in simplest terms. The birth. I&#x27;m gonna say to square toe five time. We&#x27;re gonna break apart this query. 45. So think about the factors of 45 we have one and 45 in five and nine, so I see a perfect square here. Nine is three squares. That means that the square root of nine is three. So because we have that perfect split here, we want to separate this and say square to nine Times square in five. Just weakened back throughout that were fixed. Where there So spirit of nine is three and we still have a skirt of five times 35. It&#x27;s very defiant. Some square to five will give us by. There are three times five and begins this 15

Sarah Wharton · Answer

in this question. We&#x27;re multiplying together. Seven route A times five route A over nine to do so, we&#x27;re going to multiply first, the coefficient whole numbers seven times five and then we&#x27;ll multiply together the items inside the radical signs. So this expression is equal to seven times five, which is 35. Tend to the square root of a times a over nine. We need to remember that is the same thing is a over one. When we do so, we remind ourselves that we can multiply straight across. So I&#x27;m going to multiply eight times a and one times nine to get the next step 35 times the square root of a times a divided by one times nine. This is equal to 35 times the square root of a squared, divided by nine. Moving this onto a second line. I now know that I can break this route of a squared over nine into two separate radicals 35 times the square root of a squared, divided by the square root of nine. And we&#x27;re lucky because both a squared and nine are perfect squares, so this will be equal to 35 times a over three, and this could just be written as one Big Fraction, which is 35. A over three has our final answer.

M S · Answer

So you have this very look love times one minus spirit of 10. So in distribute this group five So we have scary five times when I was just worried by minus one day, we have skirted five times greater so we can go on borrowing. They used to have to be on the same radical. So have a lot of time. Sam wishing it was 50. So let&#x27;s think about the practice of 50. We have one in 50 soon 25 and five and 10. Well, I see a perfect square here. 25 is a perfect square. Was scary to 25 this far. So we want to split apart. Are scared of Sin City This would be square to 25 sounds great and scary. 25 is five and just bring down the spirits.

M S · Answer

So we have the port through of 27 time support, 3 to 3. So because the radicals are just saying, we can combine everything I need to radical so you can have 27 tons. Three. Only the radicals 27 times three Is this aging one and the fourth word of anyone fourth route, where it&#x27;s just, like swear route. But it&#x27;s four numbers board that four of the same numbers multiply together. And now to give us a tingly in this case, the fourth or debating Willingness. Three. That&#x27;s three times. Three times, three times three will give us a tea boy. So the fourth we&#x27;re debating witness three.

Problem

In $3-41$ , express each product in simplest form…

Problem 28 Easy Difficulty

In $3-41$ , express each product in simplest form. Variables in the radicand with an even index are non-negative.
$$
\sqrt{5 a}(\sqrt{5 a}-3)
$$

Answer

$5 a-3 \sqrt{5 a}$

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Algebra 2 and Trigonometry

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$5 a-3 \sqrt{5 a}$

Algebra 2 and Trigonometry

Ann Xavier GantertAlgebra 2 and Trigonometry

Ann Xavier Gantert

Algebra 2 and Trigonometry