What is $\sqrt{50} - \sqrt{18}$ $sqrt(50)-sqrt(18)$ ?

Question

What is $\sqrt{50} - \sqrt{18}$ $sqrt(50)-sqrt(18)$ ?

2 Answers

Impact of this question

12046 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-05T21:21:07

$2 \sqrt{2} \approx 2.83$ $2sqrt(2)~~2.83$

Explanation:

$\sqrt{50} - \sqrt{18} = \sqrt{25 \cdot 2} - \sqrt{9 \cdot 2} = \sqrt{5^{2} \cdot 2} - \sqrt{3^{2} \cdot 2}$ $sqrt(50)-sqrt(18)=sqrt(25*2)-sqrt(9*2)=sqrt(5^2*2)-sqrt(3^2*2)$
$\sqrt{5^{2} \cdot 2} - \sqrt{3^{2} \cdot 2} = 5 \sqrt{2} - 3 \sqrt{2} = 2 \sqrt{2} \approx 2.83$ $sqrt(color(red)(5^2)*2)-sqrt(color(red)(3^2)*2)=color(red)(5)sqrt(2)-color(red)(3)sqrt(2)=2sqrt(2)~~2.83$

Answer 2 · 2018-03-05T21:28:17

$\sqrt{50} - \sqrt{18}$ $sqrt(50)-sqrt(18)$
= $\sqrt{2 \cdot 25} - \sqrt{2 \cdot 9}$ $sqrt(2*25)-sqrt(2*9)$
= $5 \sqrt{2} - 3 \sqrt{2}$ $5sqrt(2)-3sqrt(2)$
= $2 \sqrt{2}$ $2sqrt(2)$

Explanation:

First you need to find the smallest number these are both divisible by (excluding 1) and write out the equation again with that (in this case it is $\sqrt{2 \cdot 25}$ $sqrt(2*25)$ for the first one and $\sqrt{2 \cdot 9}$ $sqrt(2*9)$ for the other one.
Then you need to find the square root of the larger number and then it is that multiplied by the root (so again in this case it is now = $5 \sqrt{2} - 3 \sqrt{2}$ $5sqrt(2)-3sqrt(2)$ .
Finally you just subtract the two surds leaving you with the answer - $2 \sqrt{2}$ $2sqrt(2)$ .
Hopefully this helped you! :)

Science

Math

Humanities

... and beyond

What is $\sqrt{50} - \sqrt{18}$ $sqrt(50)-sqrt(18)$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is √50−√18sqrt(50)-sqrt(18)?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

What is $\sqrt{50} - \sqrt{18}$ $sqrt(50)-sqrt(18)$ ?