Question

Plzz give me the solution of this​

Answer 1

Answer:

$[(5)^{-1} + (4)^{-1} + (3)^{-1}]^2 = \frac{2209}{3600}$

Step-by-step explanation:

Given :

To find the value of :

$[(5)^{-1} + (4)^{-1} + (3)^{-1}]^2$

Solution :

$[(5)^{-1} + (4)^{-1} + (3)^{-1}]^2$

⇒ $[\frac{1}{5}  + \frac{1}{4}  + \frac{1}{3} ]^2$

By taking LCM => LCM{3,4,5} = 60,.

We know that,

⇒ 3 × 20 = 60,

⇒ 4 × 15 = 60,

⇒ 5 × 12 = 60,.

So,

⇒ $[(\frac{1}{5})\times(\frac{12}{12})+(\frac{1}{4})\times(\frac{15}{15})+(\frac{1}{3})\times(\frac{20}{20}) ]^2$

⇒

⇒ $[\frac{12}{60} + \frac{15}{60} + \frac{20}{60} ]^2$

⇒ $[\frac{12+15 + 20}{60} ]^2 = [\frac{47}{60}]^2$

⇒ $\frac{47}{60} \times \frac{47}{60} = \frac{2209}{3600}$