solve any one of the above
plz help and don't spam _/\_
Answers
Answer:
1st method
If you meant √[5 + 2√(6)] + √[8 - 2√(15)], we will need to "de-nest" them:
√(a) + √(b) = √[5 + 2√(6)]
a + 2√(ab) + b = 5 + 2√(6)
a + b = 5
2√(ab) = 2√(6)
ab = 6
b = 6/a
a + 6/a = 5
a^2 - 5a + 6 = 0
(a - 3)(a - 2) = 0
a = 2, 3
a = 2, b = 3 OR a = 3, b = 2 (it works out either way)
√[5 + 2√(6)] = √(3) + √(2)
-------
Now do it with the second one:
√(a) - √(b) = √[8 - 2√(15)]
a - 2√(ab) + b = 8 - 2√(15)
a + b = 8
-2√(ab) = -2√(15)
ab = 15
b = 15/a
a + 15/a = 8
a^2 - 8a + 15 = 0
(a - 3)(a - 5) = 0
a = 3, 5
a = 3, b = 5 (false because this would be negative)
a = 5, b = 3
√[8 - 2√(15)] = √(5) - √(3)
-------
Now add them together:
[√(3) + √(2)] + [√(5) - √(3)]
= √(5) + √(2)
2nd method
x= √(5 + 2√6) + √(8 – 2√15)
?
Then:
= √(5 + 2√6) + √(8 – 2√15)
= √(2 + 2√6 + 3) + √(5 – 2√15 + 3) ←←← Since 5=2+3 and 8=5+3
= √[(√2)² + 2(√2)(√3) + (√3)²] + √[(√5)² – 2(√5)(√3) + (√3)²]
Since =√²
= √(√2 + √3)² + √(√5 – √3)²
Since ²±2+²=(±)²
= (√2 + √3) + (√5 – √3)
Since √²=
= √2 + √5
MARK ME BRAINLIEST FOR MORE ANSWERS
m theek hu puddin vali I'd pe abhi tak automatic deletion chlri 2 saal se
snap:- ronakstark
insta:- ronakkchaudhary