I decompose the number inside the square root into prime factors.
Square root of 289 by prime factorization.
Square root of 2809.
It is determined that the prime factors of number 289 are.
Two is the smallest and the only even prime number.
Square root by prime factorization method example 1 find the square root of 1156.
Also it s the only prime which is followed by another prime number three.
The simplified root of 289 is number 17.
The value of the square root of 289 is equal to 17.
What is the square root of 288.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Thew following steps will be useful to find square root of a number by prime factorization.
One is the prime factorisation and another is the long division method.
Prime factorization of 288.
All even numbers are divisible by 2.
The product obtained in step v is the required square root.
All radicals are now simplified.
There are two methods by which we can calculate square root without using a calculator.
In radical form it is represented as 289 17.
Is 2809 a composite number.
289 is divisible by the prime number 17 which results in 17.
The n th prime number is denoted as prime n so prime 1 2 prime 2 3 prime 3 5 and so on.
Is 2809 an even number.
Hence the prime factors of 289 are 17 17.
Is 2809 an odd number.
The result 17 cannot be divided any further as it is a prime number.
Iii combine the like square root terms using mathematical operations.
Equcation for number 289 factorization is.
Prime factors of 2809.
Is 2809 a prime number.
Find the product of factors obtained in step iv.
The radicand no longer has any square factors.
Prime factorization of 290.
Take one factor from each pair.
