192k views
23 votes
Combine the radicals 4√7+3√28.

2 Answers

9 votes

Answer:

10√7

Explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28 <---- Original expression

4√7 + 3(√4 x √7) <---- Expand √28

4√7 + (3 x 2)√7 <----- Take √4

4√7 + 6√7 <---- Multiply coefficients

10√7 <---- Add both terms

User Don Giulio
by
8.2k points
13 votes

Answer:

10√7

Explanation:


4 √(7) + 3 * 2 √(7) \\ 4 √(7) + 6 √(7) \\ 10 √(7)

User Peterhry
by
9.1k points

Related questions

asked Jun 7, 2019 114k views
Cacho Santa asked Jun 7, 2019
by Cacho Santa
8.0k points
2 answers
3 votes
114k views
1 answer
6 votes
183k views
asked Aug 15, 2023 209k views
Lamya asked Aug 15, 2023
by Lamya
7.6k points
1 answer
5 votes
209k views