Question

root a + root b is equal to 17 and root a - root b =1 fing root ab

Answer 1

Answer:

$\sqrt{ab} = 72$

Step-by-step explanation:

√a + √b = 17 ____(1)

√a - √b = 1 ____(2)

(1) + (2) = √a + √b + √a - √b = 17 + 1

= 2√a = 18

= √a = 18 ÷ 2 = 9

a = 9² = 81

(1) - (2) = √a + √b - √a - √b = 17 - 1

= 2√b = 16

= √b = 16 ÷ 2 = 8

b = 8² = 64

So,

$\sqrt{ab} = \sqrt{81 \times 64} = \sqrt{5184} = 72$

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