Question

Which of the following is the solution to 8√3 + 7√3?

15√9


15√6


15√3


56√3






Which of the following is the solution to √15 * √45 simplified?


√675


8√3


15√15


15√3







Which of the following is the solution to 15√10 - 3√10?


12√10


5√10


12√100


45√10

Answer 1

Q1: Third Choice. 15√3

Q2: Fourth Choice. 15√3

Q3: First Choice. 12√10

Explanation:

Question 1: Which of the following is the solution to 8√3 + 7√3?

Given expression

8√3 + 7√3

Simplify by addition

Remember that terms with the same radical part can add together directly

= (8 + 7) √3

`\Large\boxed{=15√(3) }`

Question 2: Which of the following is the solution to √15 * √45 simplified?

Given expression

√15 × √45

Factorize each radical

= √(3 × 5) × √(9 × 5)

= √3 × √5 × √9 × √5

Simplify necessary radicals

= √3 × √5 × 3 × √5

= 3 × √3 × √5 × √5

Simplify by multiplication

When radicals multiply, combine them under one radical sign

= 3√3 × √(5 × 5)

= 3√3 × 5

`\Large\boxed{=15√(3) }`

Questions 3: Which of the following is the solution to 15√10 - 3√10?

Given expression

15√10 - 3√10

Simplify by subtraction

Remember that terms with the same radical part can subtract each other directly

= (15 - 3) √10

`\Large\boxed{=12√(10) }`

Hope this helps!! :)

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