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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 238 (page 799)

In the following exercises, multiply.
$\sqrt{3} (4 - 3 \sqrt{3})$

Short Answer

Expert verified

The multiplication of $\sqrt{3} (4 - 3 \sqrt{3})$ is $4 \sqrt{3} - 9$

Step by step solution

01

Step 1. Given

An expression $\sqrt{3} (4 - 3 \sqrt{3})$

To multiply the numbers.

02

Step 2. Multiply the expression

By multiplying the expression, we get,

$\sqrt{3} (4 - 3 \sqrt{3}) = 4 \sqrt{3} - (\sqrt{3}) (3 \sqrt{3})$

$= 4 \sqrt{3} - 3 \sqrt{3^{2}}$

$= 4 \sqrt{3} - 3 (3)$

$= 4 \sqrt{3} - 9$

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Most popular questions from this chapter

Why is there no real number equal to $\sqrt{- 64}$ ?

Use the Quotient Property to simplify square roots.

(a) $\frac{\sqrt{45 p^{9}}}{\sqrt{5 q^{2}}}$

(b) $\frac{\sqrt[4]{64}}{\sqrt[4]{2}}$

(c) $\frac{\sqrt[5]{128 x^{8}}}{\sqrt[5]{2 x^{2}}}$

Simplify:

$(a) \sqrt{\frac{a^{8}}{a^{6}}} (b) \sqrt[4]{\frac{x^{7}}{x^{3}}} (c) \sqrt[4]{\frac{y^{17}}{y^{5}}}$

Write as a radical expression:

(a) $t^{\frac{1}{2}}$

(b) $m^{\frac{1}{3}}$

(c) $r^{\frac{1}{4}}$

In the following exercises, use the Product Property to simplify radical expression $\sqrt{27}$ .

See all solutions

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