Brainly challenge for all the genius.......50 mark ques. . ..... If 2 Root 6 - root 5 /root 45 - root 24 =a+b root 30 <br />Then find a, b in easiest way according to 9th class.
Please help me................
Answers
Answered by
7
Heya !!!
2✓6 - ✓5 / ✓45 - ✓24 = A + B✓30
LHS = 2✓6 - ✓5 / ✓45 - ✓24
=> 2✓6 - ✓5 / 3✓5 - 2✓6
Rationalising the denominator 3✓5 - 2✓6
=> 2✓6 - ✓5 / 3✓5 - 2✓3 × 3✓5 + 2✓6/3✓5 + 2✓6
=>(2✓6 - ✓5)(3✓5+2✓6)/ (3✓5- 2✓6)(3✓5 + 2✓6)
=> 2✓6( 3✓5+2✓6)-✓5( 3✓5 + 2✓6)/(3✓5)² -(2✓6)²
=> 6✓30 + 24 - 15 - 2✓30 / 45 - 24
=> 4✓30 + 9/24
=> 9 + 4✓30/24
Now,
LHS = RHS
9 + 4✓30/24= A + B✓30
Clearly,
A = 9/24 and B = 4/24 = 1/6
2✓6 - ✓5 / ✓45 - ✓24 = A + B✓30
LHS = 2✓6 - ✓5 / ✓45 - ✓24
=> 2✓6 - ✓5 / 3✓5 - 2✓6
Rationalising the denominator 3✓5 - 2✓6
=> 2✓6 - ✓5 / 3✓5 - 2✓3 × 3✓5 + 2✓6/3✓5 + 2✓6
=>(2✓6 - ✓5)(3✓5+2✓6)/ (3✓5- 2✓6)(3✓5 + 2✓6)
=> 2✓6( 3✓5+2✓6)-✓5( 3✓5 + 2✓6)/(3✓5)² -(2✓6)²
=> 6✓30 + 24 - 15 - 2✓30 / 45 - 24
=> 4✓30 + 9/24
=> 9 + 4✓30/24
Now,
LHS = RHS
9 + 4✓30/24= A + B✓30
Clearly,
A = 9/24 and B = 4/24 = 1/6
Answered by
0
Answer:
Hello !!!
Step-by-step explanation:
Here is your answer:-
2✓6 - ✓5 / ✓45 - ✓24 = A + B✓30
LHS = 2✓6 - ✓5 / ✓45 - ✓24
=> 2✓6 - ✓5 / 3✓5 - 2✓6
Rationalising the denominator 3✓5 - 2✓6
=> 2✓6 - ✓5 / 3✓5 - 2✓3 × 3✓5 + 2✓6/3✓5 + 2✓6
=>(2✓6 - ✓5)(3✓5+2✓6)/ (3✓5- 2✓6)(3✓5 + 2✓6)
=> 2✓6( 3✓5+2✓6)-✓5( 3✓5 + 2✓6)/(3✓5)² -(2✓6)²
=> 6✓30 + 24 - 15 - 2✓30 / 45 - 24
=> 4✓30 + 9/24
=> 9 + 4✓30/24
Now,
LHS = RHS
9 + 4✓30/24= A + B✓30
Clearly,
A = 9/24 and B = 4/24 = 1/6
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