Math Problem Statement
leave as a surd : 4 root 3 divided by root 2
Solution
To leave the expression in surd form, we can simplify it by rationalizing the denominator.
-
Multiply both the numerator and denominator by to get rid of the surd in the denominator:
-
Now, simplify the fraction:
Thus, in surd form is .
Would you like more details or have any questions?
Here are five related questions for practice:
- Simplify .
- Simplify .
- What is in surd form?
- Simplify .
- Rationalize the denominator of .
Tip: When simplifying expressions with surds, rationalizing the denominator is a helpful technique to eliminate square roots from the denominator.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Surds
Rationalization of Denominators
Simplification of Radicals
Formulas
\( \frac{a \sqrt{b}}{\sqrt{c}} \times \frac{\sqrt{c}}{\sqrt{c}} = \frac{a \sqrt{bc}}{c} \)
Theorems
Rationalization of Surds
Simplification of Square Roots
Suitable Grade Level
Grades 8-10