Question

What is the following product? (2 sqrt 7 +3sqrt 6)(5 sqrt 2+4 sqrt3)

Answer 1

Answer:its D on edgen

Explanation:

Your welcome don’t ask questions lol

Answer 2

Answer: The required product is
`(10√(14)+8√(21)+30√(3)+36√(2)).`

Step-by-step explanation: We are given to find the following product :

`P=(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the above product, we need to multiply each term of the first expression with each term of the second expression.

We will be using the following properties of radicals :

`\sqrt a* \sqrt b=√(ab).`

So, from (i), we get

`P\\\\=(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\\\\=2\sqrt7(5\sqrt2+4\sqrt3)+3\sqrt6(5\sqrt2+4\sqrt3)\\\\=10√(7*2)+8√(7*3)+15√(6*2)+12√(6*3)\\\\=10√(14)+8√(21)+15√(2^2*3)+12√(3^2*2)\\\\=10√(14)+8√(21)+15*2√(3)+12* 3√(2)\\\\=10√(14)+8√(21)+30√(3)+36√(2).`

Thus, the required product is
`(10√(14)+8√(21)+30√(3)+36√(2)).`