SOLUTION: what does the expression the square root of 90 x the square root of 40 - the sqaure root of 8 x the square root of 18 simplifies to what

Question 280777: what does the expression the square root of 90 x the square root of 40 - the sqaure root of 8 x the square root of 18 simplifies to what
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

We could multiply the square roots first but we would get large radicands to simplify. Instead we'll simplify the square roots first. Simplifying square roots involves factoring out perfect square factors:

Using the property of radicals, , to separate the perfect square factors into their own square roots:

Now we can replace the square roots of the perfect squares:

Within the two products we can use the Commutative and Associative properties to rearrange the order and grouping:

Multiplying we get:

Subtracting we get:
48

If you had multiplied first you would get:

These cannot be subtracted because they are like terms. But you can simplify the two square roots. They end up being nice whole numbers we can be subtracted and this subtraction, if you've done everything correctly, results in 48.
RELATED QUESTIONS
What is the product of 5 square root u (square root 3+ sqaure root... (answered by ReadingBoosters)

how do you do the problem of square root of 90 times the sqaure root of 40... (answered by Earlsdon)

square root of x times the square root of x (answered by stanbon)

simplify the expression 9 square root of 7x - 6 sqaure root... (answered by rapaljer)

the square root of 72 - the square root of... (answered by nerdybill)

The Square Root of... (answered by oscargut,Fombitz)

square root of 40 minus the square root of... (answered by oscargut)

square root of 72 plus square root of 18 minus the square root of... (answered by jgr45)

Square root of 3 over (square root of x minus the square root of... (answered by ankor@dixie-net.com)