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

Click here to see ALL problems on Radicals

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.