Question

help me please!!
what is the product of the radical expression?
(7- sqr root 2)(8+ sqr root 2)

a. 13+15 sqr root 2
b. 54- sqr root 2
d. 54+56 sqr root 2

Answer 1

You know something about foil method?

Answer 2

no

Answer 3

\[(7-\sqrt{2})(8+\sqrt{2})\]

Answer 4

Perfect. Never learn it. Just learn to multiply and remember the distributive property.

\((7- \sqrt{2})(8+ \sqrt{2})\)

Using the distributive property, we have:

\(7\cdot(8+ \sqrt{2}) - \sqrt{2}\cdot(8+ \sqrt{2})\)

Using the distributive property, we have:

\(7\cdot 8 + 7\cdot\sqrt{2} - \sqrt{2}\cdot 8 - \sqrt{2}\cdot\sqrt{2})\)

Multiply all the pieces and see where you can simplify it!

Answer 5

\[56+7\sqrt{2}-8\sqrt{2}-2\]

Answer 6

\[54+\sqrt{2}(7-8)\]

Answer 7

\[54-\sqrt{2}\]

Answer 8

We're just applying same approach. Anway it will lead to 54 - sqrt(2)

Answer 9

thank you can you help me with some other problems as well?

Answer 10

yup sure..i will try

Answer 11

Of course,.:)

Answer 12

what is the simplest form of the expression?
sqr root 6x^8y^9/ sqr root 5x^2y^4

Answer 13

But you better make it as anew post. :))