Find the square root of 5625 by prime factorization method
Asked by admin @ in Math viewed by 340 People
Find square root of 5625 by pime factorization method
Answered by admin @
Given : number 5625
To find: square root by prime factorization
Solution :
5625 = 3 * 1875
=> 5625 = 3 * 3 * 625
=> 5625 = 3 * 3 * 5 * 125
=> 56265 = 3 * 3 * 5 * 5 * 25
=> 5625 = 3 * 3 * 5 * 5 * 5 * 5
=> 5625 = 3² * 5² * 5²
=> 5625 = ( 3* 5 * 5)²
=> 5625 = 75²
√5625 = √ 75²
=> √5625 = 75
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