Need Algebra help with square roots?

3 ⤊

Need Algebra help with square roots?

1. simplify
8 sqrt 6 - sqrt 24

2. simplify
sqrt2 (7 sqrt 3 - 4 sqrt 2)

any help would be great

2007-03-23 16:53:26 · 3 answers · asked by bkm_71csi 3 in Education & Reference ➔ Homework Help

3 answers

1.

8√6 - √24
= 8√6 - √(4 × 6)
= 8√6 - √4√6
= 8√6 - 2√6
= 6√6

2.

√2(7√3 - 4√2)
= (7√3)√2 - (4√2)√2
= 7√(3 × 2) - 4√(2 × 2)
= 7√6 - 4√4
= 7√6 - 4(2)
= 7√6 - 8

2007-03-23 17:02:37 · answer #1 · answered by Jim Burnell 6 · 1⤊ 0⤋

sqrt 24 is sqrt 4 times sqrt 6

sqrt 6 is sqrt 3 times sqrt 2

2007-03-23 17:07:57 · answer #2 · answered by JizZ E. Jizzy 2 · 1⤊ 0⤋

8 sqrt - sqrt 24= 4sqrt 6

sqrt 2(7sqrt3-4sqrt2) not sure if you can simplify it after multiplying

hope this helps

2007-03-23 17:40:43 · answer #3 · answered by Renee 3 · 1⤊ 1⤋