Question

A number n leaves the same remainder while. dividing 5814, 5430,
5958. What is the largest possible value of square root of the trice of the
number n​

Answer 1

Answer:

48

Step-by-step explanation:

LET THE REMAINDER BE y IN EACH CASE

SO,(5958-y),(5430-y),(5814-y) ARE COMPLETELY DIVISIBLE BY X

SINCE, THESE 3 NUMBERS ARE DIVISIBLE BY X THEIR DIFFERENCE IS ALSO DIVISIBLE BY X

(5814-y)-(5430-y)=5814-y-5430+y=5814-5430=384

(5958-y)-(5814-y)=5958-y-5814+y=5958-5814=144

384 and 144 are completely divisible by X

X=H C F of 384 and 144

  =48

Mark me as branilest

Answer 2

Step-by-step explanation:

continued from above

thrice n = 48*3 = 144

square root of 144 = 12 (taking positive value only)