Question

Simplify each expression. $$ 5 \sqrt{3}-2 \sqrt{12} $$

   Simplify each expression.
$$
5 \sqrt{3}-2 \sqrt{12}
$$

Algebra 2

Prentice Hall, Basia… 1st Edition

Chapter 8, Problem 66

Instant Answer

Solved by Expert Mariam Saleh-Esa

08/08/2019

Step 1

We can break down the number 12 into $4 \times 3$. So, $2 \sqrt{12}$ becomes $2 \sqrt{4 \times 3}$. Show more…

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Simplify each expression. $$ 5 \sqrt{3}-2 \sqrt{12} $$

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Key Concepts

Properties of Square Roots

This concept involves using the multiplication property of square roots, which states that the square root of a product can be expressed as the product of the square roots (?(ab) = ?a ?b). It allows one to break down a radicand into a product of a perfect square and another number, thereby simplifying the expression.

Combining Like Radicals

This concept refers to the process where radicals with the same radicand (the number under the square root) can be combined by adding or subtracting their coefficients, similar to combining like terms in algebra. It is essential for simplifying expressions that involve multiple radical terms.

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