13.5k views
3 votes
2±√44 /2


How do you simply this radical

1 Answer

1 vote

Answer:

depends on whether the 2 divides everything or just the square root

see below

Explanation:

2 ±sqrt(44) /2

We know that sqrt(ab) = sqrt(a) sqrt(b)

2 ±sqrt(4*11) /2

2 ±sqrt(4) sqrt(11) /2

{2 ±2 sqrt(11)} /2

Now if the 2 in the denominator is under the entire top

Factor out a 2

2 ( 1±sqrt(11)} /2

Cancel the 2

1±sqrt(11)

If the 2 is just under the sqrt of 44

2±2sqrt(11) /2

Cancel the 2 in the numerator and denominator

2±sqrt(11) /1

2±sqrt(11)

User Elliott Minns
by
8.1k points

Related questions

asked Sep 14, 2023 219k views
Artsiom Praneuski asked Sep 14, 2023
by Artsiom Praneuski
7.6k points
1 answer
18 votes
219k views
asked Jul 11, 2017 71.2k views
Runamok asked Jul 11, 2017
by Runamok
8.8k points
2 answers
5 votes
71.2k views
1 answer
3 votes
6.4k views