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Square root of fraction or number by prime factorization
A square root is a factor that, when multiplied by itself, produces another number. This can be expressed as or . For example, the square roots of 4 are 2 and -2, because and both equal 4.
To find the square roots of fractions, such as , simply find the square roots of the numerator and denominator. The example could be rewritten as and simplified as . Notice that multiplying by itself gives us the original fraction, .
But what happens when the original numbers do not divide neatly,
for example, as in ?
One way to approach a problem like this is to use prime factorization, which involves finding prime numbers that can be multiplied together to make the original number.
Learn how to use prime factorization to find the square root of
To find the square roots of fractions, such as , simply find the square roots of the numerator and denominator. The example could be rewritten as and simplified as . Notice that multiplying by itself gives us the original fraction, .
But what happens when the original numbers do not divide neatly,
for example, as in ?
One way to approach a problem like this is to use prime factorization, which involves finding prime numbers that can be multiplied together to make the original number.
Learn how to use prime factorization to find the square root of