1)/(2+root 22+root 26) = 1/root a(b)2*(root a +root b-( root(a+b) ) then find the value of a and b
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Answer:
a = 22 and b = 4
Step-by-step explanation:
Now, 1/(2 + √22 + √26)
= 1/{(√22 + 2) + √26}
= {(√22 + 2) - √26}/[{(√22 + 2) + √26)}{(√22 + 2) - √26}],
by multiplying {(√22 + 2) - √26} to both the numerator and the denominator by the conjugate of the denominator
= {(√22 + 2) - √26}/(22 + 4 + 4√22 - 26)
= {√22 + √4 - √(22 + 4)}/(4√22)
= {√22 + √4 - √(22 + 4)}/(√22 × 2²)
By the given condition,
{√22 + √4 - √(22 + 4)}/(√22 × 2²)
= {√a + √b - √(a + b)}/(√a × b²)
Comparing from both sides, we get
a = 22 and b = 4
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Answer:
correct answer
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