Rewriting Radical Expressions with Rational Exponents
Read this topicExplanations 3
- (Video) Square Roots with Variables by Eric Buffington Eric Buffington has a great video on Simplifying Radicals with variables in them.
By Ben Ferrara, Alex Federspiel
- (Video) Simplifying Square Roots and Cube Roots with Variables by OrlandoHSMath Here is a good video from OrlandoHSMath about simplifying radicals, square roots and cube roots.
By Ben Ferrara, Alex Federspiel
- Radical expressions with exponents are not that difficult to deal with. Since radicals can also be expressed as exponents, the easiest way to deal with them is to switch all the…
By Ben Ferrara
Problems 9
- Let f(x)=8x2f(x) = \sqrt{8x^2}f(x)=8x2. Which of these is equal to f(x)f(x)f(x) for all real xxx?
- Let f(x)=75x6−x3f(x) = \sqrt{75x^6} - x^3f(x)=75x6−x3. Which of these is equal to f(x)f(x)f(x) for x≥0x \ge 0x≥0?
- Let f(x)=3x3α−4+xαf(x) = \sqrt{3x^{3\alpha - 4}} + x^\alphaf(x)=3x3α−4+xα for some constant α\alphaα. If fff is a power function (i.e. can be expressed in the form f(x)=axbf(x)…
- What is a simplest form of the expression 32x8\sqrt{32x^8}32x8
- What is the simplest form of the expression 64x63\sqrt[3]{64x^6}364x6
- Simplify the radical 64z126\sqrt[6]{64z^{12}}664z12
- True or False\text{True or False}True or False === When you simplify a variable raised to a power under the radical, you subtract the root from the power. i.e. xmn → xm−n\sqrt[n…
- What is the simplest form of 16x4\sqrt{16x^4}16x4
- What is the simplest form of 449x94\sqrt{49x^9}449x9?