Question

The algebraic expression for "Five times $a$ plus $b$ multiplied by the square root of $c$" is

• A. $5(a+b)\sqrt{c}$
• B. $5a+b\sqrt{c}$
• C. $5a+\sqrt{bc}$
• D. $(5a+b)\sqrt{c}$

Answer 1

Answer: (B)

$5a+b\sqrt{c}$

Five times $a$ plus $b$ multiplied by the square root of $c$.
Five times $a=$ $5a$
$b$ multiplied by the square root of $c=$ $b\times \sqrt{c}$
Thus, five times a plus $b$ multiplied by the square root of $c=$ $5a+b\sqrt{c}$