I need help multiplying Radical Expressions I am stuck on the following problem.?

Question

Multiply:
(5√[2] + 3)(√[2] – 2√[3])

Answer 1

5√2 + 3√2 - 6√3
8√2 - 6√3

Answer 2

in solving equation, remember MDAS (multiplication, division, addition, subtraction) solve first the equation that needs to be multiplied then the ones that needs to be divided then add and subtract..

so for the equation you gave
(5√[2] + 3)(√[2] – 2√[3])
which is actually (5√[2] + 3)times(√[2] – 2√[3])

so we need to solve the first term which is (5√[2] + 3):
perform the multiplication 1st 5 times sqrt of 2
=7.071067812 plus 3
= 10.07106781

2nd term which is (√[2] – 2√[3]):
multiplication first, -2 times sqrt of 3
=-3.464101615 plus sqrt of 2
=-2.049888053

now that we have the answers, we have to multiply the 2 terms as (5√[2] + 3)times(√[2] – 2√[3])

= 10.07106781 times -2.049888053
= -20.64456159

there you go.. hope you got it

Answer 3

You group the first two radicals together like variables (they are like terms) and the problem simplifies to this

8 (square roots of 2) - 2 (square roots of three)

Good luck