Express each radical expression in simplest radical form. \sqrt{\frac{75}

Rui Baldwin

Rui Baldwin

Answered question

2021-09-19

Express each radical expression in simplest radical form.
7581

Answer & Explanation

diskusje5

diskusje5

Skilled2021-09-20Added 82 answers

A radical expression am has the equivalent exponential form a1m. One property of radicals that will be used is (xy)1m=x1my1m.
Another property of radicals that will be used (xy)1m=x1my1m
To simplify a radical implies power of any prime number should not be larger than base of the radical. Express each number inside the radical as product of powers of prime numbers.
Given radical expression is 7581. Use properties mentioned in step 1 to simplify this expression.
7581=7581
=35234
=352(32)2
=5332
=593
Hence, the given expression in simplest radical form is 593

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