Examples with solutions for Rules of Roots Combined: Identify the greater value

Exercise #1

Choose the largest value

Video Solution

Step-by-Step Solution

Let's begin by calculating the numerical value of each of the roots in the given options:

25=516=49=3 \sqrt{25}=5\\ \sqrt{16}=4\\ \sqrt{9}=3\\ We can determine that:

5>4>3>1 Therefore, the correct answer is option A

Answer

25 \sqrt{25}

Exercise #2

Choose the largest value

Video Solution

Answer

9 \sqrt{9}

Exercise #3

Choose the largest value

Video Solution

Answer

5 \sqrt{5}

Exercise #4

Choose the largest value

Video Solution

Answer

Answers a and c

Exercise #5

Choose the largest value

Video Solution

Answer

254 \sqrt{25^4}

Exercise #6

Choose the largest value

Video Solution

Answer

24 \sqrt{2}\cdot\sqrt{4}

Exercise #7

Choose the largest value

Video Solution

Answer

All answers have the same value

Exercise #8

Choose the largest value

Video Solution

Answer

55 \sqrt{5}\cdot\sqrt{5}