Pls help..............
Answers
Answer:
ok wait a minute bro .........
Answer:
a) 10.
b) 98.
Explanation:
(√3+√2)²=(√3)²+(√2)²+2(√3)(√2)=3+2+(2√6)=5+(2√6).
1 1
----------- = -----------
(√3+√2)² 5+(2√6)
So,
1 1 {5+(2√6)}{ 5+(2√6)} + 1 {5²+(2√6)²+2(5)(2√6)} + 1
(√3+√2)² + ------------- = 5+(2√6) + ----------- = ------------------------------- = ----------------------------------
(√3+√2)² 5+(2√6) 5+(2√6) 5+(2√6)
==> 25+24+(20√6) + 1 50+(20√6) 10 { 5+(2√6)}
----------------------- = ----------------- = ------------------ = 10.
5+(2√6) 5+(2√6) 5+(2√6)
So, Answer for first Question is 10.
(√3+√2)⁴ = {(√3+√2)²}² = {5+(2√6)}²= 5²+(2√6)²+2(5)(2√6) = 25+24+(20√6) = 49+(20√6).
1 1
------------ = --------------
(√3+√2)⁴ 49+(20√6)
So,
1 1 {49+(20√6)}{49+(20√6)} + 1 {49²+(20√6)²+2(49)(20√6)} + 1
(√3+√2)⁴ + -------------- = 49+(20√6) + --------------- = ------------------------------------- = -----------------------------------------
(√3+√2)⁴ 49+(20√6) 49+(20√6) 49+(20√6)
===> 2401+2400+(1960√6) + 1 4802+(1960√6) 98 { 49+(20√6)}
---------------------------------- = ---------------------- = ---------------------- = 98.
49+(20√6) 49+(20√6) 49+(20√6)
So, Answer for second Question is 98.
HOPE THIS HELPS!!!!! PLEASE DO MARK BRAINLIEST IF YOU THINK THE ANSWER IS WORTH IT ☺️.