Register
What is the following product?(2square root 7 +3square root 6)(5square root2+4square root3)
185k views
5 votes
What is the following product?(2square root 7 +3square root 6)(5square root2+4square root3)

User Jhashane
by
4.6k points

1 Answer

3 votes

Answer:


10√(14) + 8√(21) + 30 √(3) +36√(2)\\\\

Explanation:


( 2 \sqrt7 + 3 \sqrt6)(5\sqrt2 + 4\sqrt3)\\\\= 2\sqrt7(5\sqrt2 + 4\sqrt3) + 3\sqrt6 ( 5\sqrt2 + 4\sqrt3)\\\\=10√(7 * 2) + 8√(7 * 3) + 15√(6 * 2) + 12√( 6* 3)\\\\=10√(14) + 8√(21) + 15 √(12) +12√(18)\\\\= 10√(14) + 8√(21) + 15 √(4 * 3 ) +12√(9 * 2)\\\\= 10√(14) + 8√(21) + 15 √(2^2 * 3) +12√(3^2 * 2)\\\\= 10√(14) + 8√(21) + 30 √(3) +36√(2)\\\\

User Rdurand
by
4.1k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.5m questions

5.9m answers

Other Questions

Help easy for you but not for me!
point P is located at (-2, 7), and point R is located at (1, 0). find the y value for the point Q that is located 2/3 the distance from point P to point R
Which of the following angles can be used to evaluate cot(-210)
Which of the following is a polynomial with roots 4, -5, and 7? A. f(x) = x^3 - 6x - 27x + 140 B. f(x) = x^3 - 6x - 20x + 27 C. f(x) = x^3 - 20x^2 - 27x + 35 D. f(x) = x^3 - 20x^2 - 35x + 140
ten granola bars and 12 bottles of water cost $23. 5 granola bars and four bottles of water cost $10. how much do one granola bar in one bottle of water cost?
Link Copied!