MHB Therefore 2√5 + 2√5 = 4√5How can I simplify this square root fraction?

  • Thread starter Thread starter Mooija
  • Start date Start date
  • Tags Tags
    Simplify
Click For Summary
To simplify the square root fraction 10/√5 + √20, first, recognize that √20 can be simplified to 2√5. Then, convert 10/√5 by multiplying the numerator and denominator by √5, resulting in 10√5/5, which simplifies to 2√5. Adding these two results, 2√5 + 2√5, yields 4√5. Thus, the simplified form of the expression is confirmed as 4√5.
Mooija
Messages
1
Reaction score
0
Hi
I have to simplify this square root fraction:
10/√5 + √20

The answer is 4√5, but I do not get to that answer.
Please help.
 
Mathematics news on Phys.org
Hello Mooija and welcome to MHB. :)

√20 = √4√5 = 2√5

10/√5 = 10√5/5 = 2√5
 

Similar threads

B Can Higher Degree Nested Radicals Be Simplified?
  • · Replies 41 ·
2
Replies
41
Views
5K
I Geometry problem of interest with a 3-4-5 triangle
  • · Replies 59 ·
2
Replies
59
Views
3K
B Understanding the relationship between ratios and fractions
  • · Replies 8 ·
Replies
8
Views
2K
I Question about Inverse Derivative Hyperbola function
  • · Replies 2 ·
Replies
2
Views
1K
I Find the square root of (-2-3)^2?
  • · Replies 11 ·
Replies
11
Views
2K
MHB Can this fraction be simplified further
  • · Replies 7 ·
Replies
7
Views
2K
MHB 5.t.11 find x for the imaginary factors
  • · Replies 2 ·
Replies
2
Views
1K
B Determine a fractional square root without calculator
  • · Replies 15 ·
Replies
15
Views
2K
MHB Solve $2+5\ln{x}=21$: Find $x$
  • · Replies 5 ·
Replies
5
Views
1K
MHB Finding the Largest Root of a Polynomial Using Synthetic Division
  • · Replies 1 ·
Replies
1
Views
1K