Question

What is the answer to this question?

The square root of 24 + the square root of 25 - the square root of 54?

Thank you!!

Please put it in square root form. No decimals.

Answer 1

`\large\boxed{√(24)+√(25)-√(54)=5-\sqrt6}`

Explanation:

`\text{Use}\\\\√(a)=b\iff b^2=a\\\\√(ab)=√(a)\cdot√(b)`

`√(24)+√(25)-√(54)\\\\√(24)=√(4\cdot6)=\sqrt4\cdot\sqrt6=2\sqrt6\\√(25)=5\\√(54)=√(9\cdot6)=\sqrt9\cdot\sqrt6=3\sqrt6\\\\\sqrt4=2\ because\ 2^2=4\\√(25)=5\ because\ 5^2=25\\\sqrt9=3\ because\ 3^2=9\\\\√(24)+√(25)-√(54)=2\sqrt6+5-3\sqrt6=5+(2\sqrt6-3\sqrt6)=5-1\sqrt6`