SOLUTION: Please help!!! I am having an extremely difficult time solving these square root problems. Whatever assistance anyone can provide will be greatly appreciated. Thank you in advan

Question 75612This question is from textbook Beginning Algebra
: Please help!!! I am having an extremely difficult time solving these square root problems. Whatever assistance anyone can provide will be greatly appreciated. Thank you in advance.
PG. 530 Combine, if possible.
(6.) √5 - √6 + 3√5 - 2√6
(8.) √7 - √63
PG. 535 Multiply. Be sure to simplify any radicals in your answer.
(26.) (3√5 + √3) (√5 + √3)
(36.) (3√2 + 5)^2
PG. 542 Simplify. Be sure to rationalize all denominators.
(6.) √5 / √80
(14.) 6 / √17
This question is from textbook Beginning Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Combine, if possible.
(6.) √5 - √6 + 3√5 - 2√6
=4sqrt5 - 3sqrt6
-----------

(8.) √7 - √63
=sqrt7 - sqrt(9*7)
=sqrt7 - 3sqrt7
=-2sqrt7
--------------
PG. 535 Multiply. Be sure to simplify any radicals in your answer.
(26.) (3√5 + √3) (√5 + √3)
=3*5 +3sqrt15+sqrt15+3
=18 +4sqrt15
---------------

(36.) (3√2 + 5)^2
=(3sqrt2 + 5)(3sqrt2 + 5)
=9*2 +15sqrt2 + 15sqrt2 + 25
=43+30sqrt2
-----------------
PG. 542 Simplify. Be sure to rationalize all denominators.
(6.) √5 / √80
= sqrt5/sqrt(16*5)
=sqrt5 / 4(sqrt5)
=1/4
-------------------
(14.) 6 / √17
Multiply numerator and denominator by sqrt17 to get:
=(6sqrt17)/17
=(6/17)sqrt17
==================
Cheers,
Stan H.

RELATED QUESTIONS
i am having a difficult time absorbing the concept of solving these problems. please help (answered by rapaljer)

I am having problems solving: Is the square root of x^2 an identity (true for all... (answered by AnlytcPhil)

PLEASE HELP!!! I have an assignment due and I am having problems; can you please explain... (answered by sbates)

Factor completely: x^7y^2 - 4x^5y^2 - 21x^3y^2 I am having a difficult time factoring... (answered by bucky)

Please help!!! I have tried solving the following problems, but can't seem to... (answered by checkley75)

Help with logarithmic problems? 1. Rewrite as an equivalent logarithmic equation with... (answered by ankor@dixie-net.com)

I am having problems setting up these word problems on travel time, average speed and... (answered by funmath)

i am having a hard time find the square root of 63/8. can you... (answered by rfer)

sqrt3 sqrt3 ----- - ----- sqrt6 -1 sqrt6 + 1 sqrt9x^2 = x + 6 (answered by stanbon)