1/√7+√3-√2 solve it step by step
Answers
Answer:
2√42 + 6√3 + 8√2 - 2√7 - 2√42/10.
Step-by-step explanation:
1/√7+√3-√2
= 1/(√7+√3) -√2
Multiply numerator and denominator by (√7+√3) +√2
= (√7+√3) +√2/[(√7+√3) -√2][(√7+√3) +√2]
(∵denominator is of form (a+b)(a-b) which is equal to a² - b²)
= (√7+√3) +√2/ (√7+√3)² - (√2)²
(∵(√7+√3)² is of form (a+b)² which is equal to a² + b² + 2ab)
= (√7+√3) +√2/7 + 3 + 2√21 - 2
= (√7+√3) +√2/8+2√21
Multiply numerator and denominator by 8 - 2√21
= [(√7+√3) +√2][8 - 2√21]/[8 +2√21][8 - 2√21]
(∵denominator is of form (a+b)(a-b) which is equal to a² - b²)
= 8√7+8√3+8√2 - 2√147 - 2√63 - 2√42/64 - 84
= 8√7+8√3+8√2 - 2√49*3 - 2√9.7 - 2√42/(-20)
= 8√7+8√3+8√2 - 14√3 - 6√7 - 2√42/(-20)
= 2√7- 6√3 + 8√2 - 2√42/ -10
= 2√42 + 6√3 + 8√2 - 2√7 - 2√42/10.
Answer:
0.695801712 is the correct answer.
Step-by-step explanation:
- firstly ,1÷√7 = 0.377964473 and then. • find value of √3=1.73205081, then , do addition of 0.377964473 + 1.73205081 =2.11001528,. then , find value of √2 =1.41421356 subtract it from 2.11001528, so answer is 0.695801712. please mark me as a brainliest answer