Question

simplify: [√225\729-√25\144]÷√16\81 Pls give appropriate answer or I will report the answer the answer is 5\16 you have to solve it and give answer ​

Answer 1

5/16

Step-by-step explanation:

Given :-

[√(225/729) - √(25/144) ] ÷ √(16/81)

To find :-

Simplify ;

[√(225/729)-√(25/144)]÷ √(16/81) ?

Solution :-

Given that :

[√(225/729) - √(25/144) ] ÷ √(16/81)

=> [√(15²/27²) - √(5²/12²) ] ÷ √(4²/9²)

=> [√(15/27)² - √(5/12)² ] ÷ √(4/9)²

=> [ (15/27) - (5/12) ] ÷ (4/9)

=> [ (5/9) - (5/12) ] ÷ (4/9)

LCM of 9 and 12 = 36

=> [ {(5×4)-(5×3) } /36] ÷ (4/9)

=> [ (20-15)/36 ] ÷ (4/9)

=> (5/36) ÷ (4/9)

=> (5/36) / (4/9)

=> (5/36) × (9/4)

=> (5×9)/(36×4)

=> 5/(4×4)

=> 5/16

Answer:-

The value for the given problem is 5/16

Answer 2

hope it helps......

have a nice day