- #1

- 28

- 3

__Problem 1__

Simplify/solve:

**2*8**

^{1/2}-7*18^{1/2}+5*72^{1/2}-50Attempt at solution:

**a**

⇒ 2*√8 - 7*√18 + 5*√72 - 50

= 2√8 - 7√18 + 5√72 - 50 = ?

Do not know how to proceed beyond this point. Have experimented with little luck.

^{1/2}=√a⇒ 2*√8 - 7*√18 + 5*√72 - 50

= 2√8 - 7√18 + 5√72 - 50 = ?

Do not know how to proceed beyond this point. Have experimented with little luck.

__Problem 2__

Simplify/solve:

**a**

^{-1}(1+1/a^{2})^{-1/2}* (1+a^{2})^{1/2}Attempt at solution:

**a**

⇒ 1/a * √-1 + √-1 / a (the a is now simplified, the 1 is not) * √1 + a (the a is simplified, 1 is not)

= ?

^{-1}= 1/a, 1^{-1/2}= √-1, (1/a^{2})^{-1/2}= √-1/a^{2}⇒ 1/a * √-1 + √-1 / a (the a is now simplified, the 1 is not) * √1 + a (the a is simplified, 1 is not)

= ?

**Do not know how to proceed beyond this point. Have given up before experimenting.**

These are the problems I cannot solve. In fact, I cannot solve any problems of this type. I have no clue what I'm doing, just following certain rules I believe to be correct.

These rules are described in my attempts at a solution at the top of the problem.