Question

What is the square root of 52 simplified?

Answer 1

`√(52)`

Break the number to its primes:


`52 = 2^2 *13`


`= √(2^2*13)`

Apply radical rule :
`\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}`


`= √(13) √(2^2)`

Apply radical rule :
`\sqrt[n]{a^n} =a`


`√(2^2)=2`

therefore :
`= 2 √(13)`

hope this helps!