Question

Square root of 5184 by division merthoud

Answer 1

Answer:

Given #5184#

First find the prime factorisation:

#5184 = 2 * 2592#

#color(white)(5184) = 2^2 * 1296#

#color(white)(5184) = 2^3 * 648#

#color(white)(5184) = 2^4 * 324#

#color(white)(5184) = 2^5 * 162#

#color(white)(5184) = 2^6 * 81#

#color(white)(5184) = 2^6 * 3 * 27#

#color(white)(5184) = 2^6 * 3^2 * 9#

#color(white)(5184) = 2^6 * 3^3 * 3#

#color(white)(5184) = 2^6 * 3^4#

Note that all of the factors occur an even number of times, so the square root is exact...

#sqrt(5184) = sqrt(2^6 * 3^4) = 2^3 * 3^2 = 72#

Step-by-step explanation:

I hope it will help you

mark as brainleast