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A radical equation is one in which the unknown variable (e.g. $x$) is under the radical sign. For example: $$\sqrt{x+5}=10$$ When it comes to solving radical equations, oftentimes your teacher will expect you to check your answer using the original equation. This involves substituting your answer back into the equation…
Add and Subtract Radicals One reason to learn how to simplify radicals is to be able to combine them through addition and subtraction. Radicals are called similar if they have the same index and same radicand, such as $4\cdot\sqrt[3]{xy}$ and $7\cdot\sqrt[3]{xy}$. Taking the sum of these two terms would result…
A radical is mathematical way to represent fractional exponents. A radical consists of a radical sign, a quantity under the radical sign called the radicand, and the index of the radical. If an expression, let’s say a, is raised to the power of ½, that’s the same as taking the square…
Radicals (√, ∛, ∜, etc.) are an extension of the exponents laws you learned in Part 1 of this course. This section is solely dedicated to the exponent laws. The connection between radicals and exponents is made in the next section, though it’s highly advised that you review these first as they’re easily…