Disgruntledstudent Disgruntledstudent
  • 02-05-2019
  • Mathematics
contestada

How to simplify the square root of 3 over the square root of 21

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-05-2019

3 * 7 = 21, so

[tex]\sqrt{21}=\sqrt{3\cdot7}=\sqrt3\sqrt7[/tex]

Then

[tex]\dfrac{\sqrt3}{\sqrt{21}}=\dfrac1{\sqrt7}[/tex]

and you can rationalize the denominator to write this as

[tex]\dfrac1{\sqrt7}\cdot\dfrac{\sqrt7}{\sqrt7}=\dfrac{\sqrt7}7[/tex]

Answer Link
angie823
angie823 angie823
  • 02-05-2019

answer: √3⋅√21 = 3√7

Answer Link

Otras preguntas

How were life forms affected by the rise in atmospheric oxygen levels that began 2.2 billion years ago?
Which equation has the same y-intercept as y=4x-3?a. y-3=x              b. y=8x+3    c. 3-y=4x      d. y=-3+8xWhich of the following is the equation of the line
(10y^3+20y^2+55y)/5y
find an equivalent expression without parentheses -(50x-15y+15)=
find an equivalent expression without parentheses -(50x-15y+15)=
Prove that (x^5)-(x^2)+2x +3=0 has at least one real root. Prove that x=cosx has at least one solution.
How were life forms affected by the rise in atmospheric oxygen levels that began 2.2 billion years ago?
Scarcity is the condition of not having enough goods and services to satisfy everyone's?
Can someone use the word delta in a sentence
Data are drawn from a symmetric and bell shaped distribution with a mean of 120 and a standard deviation of 5. There are 900 observations in the data set. What