longq0237 longq0237
  • 16-01-2022
  • Mathematics
contestada

Write this expression so that its denominator, if any, is a positive integer.
2/(3+sqrt(7))

Respuesta :

shaunakmylavarapu
shaunakmylavarapu shaunakmylavarapu
  • 17-01-2022

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7   the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7)  the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2    the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1    the equation after you divide out the 2's

= 3 - sqrt7  is THE ANSWER

Answer Link

Otras preguntas

what does 10 to the power of 4 mean?
Please help me please
What are the 8 characteristics of life?
Which is a part of a neuron that receives messages apex?
It looks like it is going to rain today there are a lot of clouds in the sky the sun is not shining I will play inside if it rains
in Jillian harden there are 3 rows of carrots 2 rows of beans and 1 row of peas. there are 8 plants in each row. how many plants are in the garden
Which macromolecule is made of monomers called nucleotides
What value could y-coordinate for point Q
You roll a six sided die. What is the probability of rolling a 1 or a number greater than 4. A.1/2 B.3/5 D.2/3 E.3/4
the sum of two consecutive integers is 143 what are the integers?