simplify the product 3root2 *4 root2*12 root 32
Answers
Answer:
2 is correct answer. And l hope, you will be understood.
Given:
3root2 *4 root2*12 root 32
To Find:
Simplify the product
Solution:
First, let the whole expression be equal to x then we can express it in,
Now let us club the whole numbers together and the root numbers together separating them by bracket so we can deal with them separately
Now multiply the whole numbers together and the numbers with root multiply them together with an under root on them
Now we should know that when a number is about to be sent inside an under root then the number becomes its square inside the root, so in this case, too we will take 144 squared multiplied by 128 whole under a root
Now we will need to prime factorize the number and form a pair of two prime numbers that will come outside the root and which are left behind will stay in
2654208= 2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*3*3*3*3
So we can equate it like
Hence, the value of the expression is 1152root2.