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
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

High School Can Higher Degree Nested Radicals Be Simplified?
  • · Replies 41 ·
2
Replies
41
Views
5K
Undergrad Geometry problem of interest with a 3-4-5 triangle
  • · Replies 59 ·
2
Replies
59
Views
23K
High School Understanding the relationship between ratios and fractions
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Question about Inverse Derivative Hyperbola function
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad 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
High School 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