Question

answer this..................​

Answer 1

Answer:

73

Step-by-step explanation:

a√a + b√b = 183

⇒ √(a³) + √(b³) = 183 ----- (1)

We know that

(√a + √b)³ = √a³ + √b³ + 3√(ab)(√a + √b)

(√a + √b)³ = 183 + 3√(ab)(√a + √b) ----- (2)

Given, a√b + b√a = 182

⇒ √ab(√a + √b) = 182 ----- (3)

From eqn (2) and (3)

(√a + √b)³ = 183 + 3(182) = 729

(√a + √b) = 9 -----(4)

From eqn (3)

9*√(ab) = 182

√(ab) = 182/9 ----- (5)

From eqn (4)

(√a + √b)² = 9² = 81

a + b + 2√(ab) = 81

a + b = 81 - 2√(ab)

a + b = 81 - 2(182/9)

a + b = (729 - 364)/9

a + b = 365/9

(9/5)(a + b) = 73 ...Ans...

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