This discussion focuses on the simplification of square roots in mathematical operations such as division, addition, and subtraction. Key examples include simplifying expressions like 5√24 ÷ 2√18 and √40 + √90. Participants emphasize the importance of expressing numbers under the square root as products of primes and rationalizing fractions. The discussion also highlights the need to have a common base when adding or subtracting surds.
PREREQUISITESStudents, educators, and anyone looking to enhance their understanding of square root operations in mathematics.
Sorry, I meant to write the question like a fraction I just didn't know the code. When you are simplifying roots, and you take out let's say the root of 4, do you times the number already outside the root sign by 2?cristo said:What have you tried? You need to simplify the square roots. For example, write the first question as \frac{5\sqrt{24}}{2\sqrt{18}} Now, can you simplify \sqrt{24} and \sqrt{18}?
[Hint: write each number under the sqrt sign as a product of primes.]
w3tw1lly said:Sorry, I meant to write the question like a fraction I just didn't know the code. When you are simplifying roots, and you take out let's say the root of 4, do you times the number already outside the root sign by 2?
\frac{5\sqrt{24}}{2\sqrt{18}}
=\frac{5\sqrt{4*6}}{2\sqrt{3*6}} (don't know what to do, so long since we had done radicals)
w3tw1lly said:I feel embarassed to ask these questions but what is the rule for to simplify division, addition, and subtraction square roots? Here are some questions:
\sqrt{40} + \sqrt{90}
\sqrt{50} - \sqrt{18}