SOLUTION: Please help and if possible try to explain 2/3 radical 14 multiplied by 12 radical 7 Thank you very much!

Question 290171: Please help and if possible try to explain 2/3 radical 14 multiplied by 12 radical 7
Thank you very much!
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Since this is all multiplication and since multiplication is commutative and associative, we can reorder and rearrange this expression as we please:

The first part is easy to multiply. For the square roots, we use the property of radicals: .

And just like fractions should be reduced, if possible, square roots should be simplified. A square root can be simplified if its radicand has a perfect square factor. Since 98, the radicand, has 49 as a factor ans since 49 is a perfect square we can simplify :

Now we can use the earlier property, in reverse, to split this square root into two square roots:

And since :

which simplifies to:

RELATED QUESTIONS
HELP ME PLEASE... I dont really undersatnd radicals.... how do you solve them. k I... (answered by Alan3354)

Subtract. simplify by collecting like radical terms if possible 4sqrt27 - 4sqrt3 (answered by checkley77)

How do you solve 2/3 radical 14 X 12 radical 7 is equivalent to (answered by Fombitz)

Please help me with this problem. I do not know how to do the radical sign on my... (answered by stanbon,vleith)

5 radical 7 + 3 radical 28 I tried 5 radical 7 + 3 radical 28 5 radical 7 + 3 radical (answered by edjones)

Can you please help me to multiply radical equations with fractions? This is the... (answered by Alan3354,MathLover1)

How do you solve equations like these? Rules:Simplify but leave in radical form 1.)... (answered by scott8148)

Can you explain to me how to do RADICAL 8 multiplied by RADICAL 6 (answered by jim_thompson5910)

Can you please help me subtract and simplify by collecting like radical terms, if... (answered by stanbon)