Register
Rationalise the following: (Root3-1) / (root3+1)
88.7k views
5 votes
Rationalise the following:
(Root3-1) / (root3+1)

Rationalise the following: (Root3-1) / (root3+1)-example-1
User Steve Sanders
by
8.0k points

1 Answer

6 votes

Answer:


2-√(3)

Explanation:


\begin{aligned}(√(3)-1)/(√(3)+1)* (√(3)-1)/(√(3)-1) &=((√(3)-1)(√(3)-1))/((√(3)+1)(√(3)-1))\\\\ & =(√(3)√(3)-√(3)-√(3)+1)/(√(3)√(3)-√(3)+√(3)-1)\\\\ & =(4-2√(3))/(2)\\\\ & = 2-√(3)\end{aligned}

User Edda
by
8.7k points
← Prev Question Next Question →

Related questions

User Ossandcad
asked Dec 26, 2015 178k views
Rationalise: (1) 4/(2+root3+root7) (2) 4/(2root3+root5)
Ossandcad asked Dec 26, 2015
by Ossandcad
8.5k points
2 answers
5 votes
178k views
User Josteinb
asked May 23, 2024 46.7k views
If root 3 is equal to 1.732, then find the value of root[root3 +1/root3 -1]
Josteinb asked May 23, 2024
by Josteinb
8.1k points
1 answer
3 votes
46.7k views
User Vps
asked Aug 18, 2024 162k views
2+root3-2-root3 help me
Vps asked Aug 18, 2024
by Vps
8.9k points
1 answer
1 vote
162k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!