222k views
2 votes
Multiply.

43√⋅1012−−√⋅6√⋅2√



Enter your answer, in simplest radical form, in the box.
(Picture of the equation just in case it copied it wrong)

Multiply. 43√⋅1012−−√⋅6√⋅2√ Enter your answer, in simplest radical form, in the box-example-1
User Mcastro
by
7.1k points

2 Answers

3 votes

Answer: Esta es la respuesta correcta

Explanation:

Multiply. 43√⋅1012−−√⋅6√⋅2√ Enter your answer, in simplest radical form, in the box-example-1
User Willi
by
8.8k points
4 votes
The main rules that we use here are :

i)
√(a \cdot b)= √(a) \cdot √(b) for nonnegative values a and b.

ii)
√(a) \cdot √(a) =a.


Thus, first 'decompose' the numbers in the radicals into prime factors:


4 √(3) \cdot 10 \cdot √(2\cdot2\cdot3)\cdot √(2\cdot 3)\cdot √(2)..

By rule (i) we write:


4 √(3) \cdot 10 \cdot √(2)\cdot √(2)\cdot √(\cdot3)\cdot √(2) \cdot √(3) \cdot √(2).

We can collect these terms as follows:


40 √(3)\cdot (√(3)\cdot √(3)) \cdot (√(2)\cdot √(2)) \cdot( √(2) \cdot √(2)), and by rule (ii) we have:


40 √(3)\cdot 3 \cdot 2 \cdot2=40\cdot12\cdot √(3)=480 √(3).


Answer:
480 √(3).
User Max Peng
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories