Login or Sign Up
Menu
Ask a New Question
An intriguing educational image focused on mathematics. Visualize a clean, organized blackboard with a cleanly drawn square root symbol containing the number 18, along with a separate square root symbol containing the number 32. Each root symbol is being multiplied by a different number, the first one by 4 and the second by 5. Make sure to encapsulate the problem-solving nature of math, and ensure no text is visible in the picture.

Simplify the expression: 4 times Start Root 18 End Root plus 5 times Start Root 32 End Root

For connexus peeps the 4/4 answers are

b
a
c
a

Sorry... my answer above got way to zellus with the html language (I mis inputted your question). Here is the correct solution : )

4 √ 18 + 5 √ 32
=4√(9x2) + 5√(16x2)
= 4x3√2 + 5x4√2
= 12√2 + 20√2
= 32√2

LittleRunaway- shut up.

You have entire radicals that need to be turned into mixed radicals (then you have to collect like terms : )

4 √ 18 x √18 + 5 √ 32
=4√(9x2) + √2 (9x2) + 5√(16x2)
= 4x3√2 + 3√2 + 5x4√2
= 12√22 + 3√2 + 20√2
= 35√2

THANK YOU BOOM answer

boom answer is correct!

boom answer is right

THANK U BOOM ANSWER!!!!!!!

To simplify the expression 4√18 + 5√32, we can simplify each square root separately and then add the results together.

First, let's simplify √18. To do this, we need to find the largest perfect square that divides 18. In this case, it is 9.

√18 = √(9 * 2) = √9 * √2 = 3√2

Now let's simplify √32. Again, we need to find the largest perfect square that divides 32. In this case, it is 16.

√32 = √(16 * 2) = √16 * √2 = 4√2

Now we can substitute the simplified values back into the original expression:

4√18 + 5√32 = 4(3√2) + 5(4√2)

Next, we can distribute the coefficients:

4(3√2) + 5(4√2) = 12√2 + 20√2

Finally, combine like terms:

12√2 + 20√2 = (12 + 20)√2 = 32√2

So, the simplified expression is 32√2.

b-baka