For your streak.

Algebra Level 1

If you want your streak and rating, please do the following: Which one is equal to 5?

6+ i 2 i^2 16 + 9 \sqrt{16}+\sqrt{9} 3 1 2 2 3-\frac{1}{2}*2 sin 45 \sin{45}

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

6 solutions

Kevin Mo
Mar 1, 2014

6 + i 2 = 6 + ( 1 ) = 5 6+i^2=6+(-1)=\boxed{5}

Very easy!

1) 16 + 9 = 4 + 3 = 7 \sqrt{16}+\sqrt{9} = 4+3=7 (No)

2) 3 1 2 × 2 = 3 1 = 2 3-\frac{1}{2} \times 2 = 3-1=2 (No)

3) sin 4 5 = 1 2 \sin 45^\ = \frac{1}{\sqrt{2}} (No)

4) 6 + i 2 = 6 1 = 5 6+i^{2} = 6-1=5 ( i 2 = 1 ) (i^{2}=-1) (Yes)

Thus, 6 + i 2 = 5 \boxed{6+i^{2}=5} is the answer.

Saurabh Mallik - 7 years, 2 months ago

how can a square no. be negative

sagnik som - 7 years, 2 months ago

Log in to reply

in complex numbers the root of -1 is equal to ' i ', ' i ' is an imaginary number it actually does not exist as i is root of -1 its square will be equal to -1

Harsh Depal - 7 years, 2 months ago

There is no real solution. So... Lets IMAGINE the answer

Mohammad Farhat - 2 years, 10 months ago

thnx

sagnik som - 7 years, 2 months ago

Log in to reply

welcome

Harsh Depal - 7 years, 2 months ago
Victor Loh
Mar 19, 2014

Brilliant isn't all about streaks and ratings; it's about exploring different types of problems to learn more, not to earn points to look good while you don't actually learn anything! (I don't mean you can't learnt anything from this problem)

Anyway, since i 2 = 1 i^{2}=-1 , 6 + i 2 = 6 + ( 1 ) = 6 1 = 5 6+i^{2}=6+(-1)=6-1=\boxed{5} , and we are done.

I would like to request the Brilliant.org staff to allow us to view the other options of the question after we have solved it. Now, when I'm trying to explain why the other options are wrong, I can't find it :)

how can a square number be negative?

Imma Jonathan - 7 years, 2 months ago

Log in to reply

Because i i is an imaginary number,it means "the square root of negative one".

Tan Li Xuan - 7 years, 2 months ago

Exactly. They should allow us to view the other options

Krishna Ar - 7 years, 1 month ago
Sourav Kabiraj
Mar 19, 2014

we know i^2=-1 then 6-1=5

Hassan Hassan
Mar 19, 2014

i^2 = -1, 6 + i^2 = 5

i^2 = -1, 6 + i^2 = 5

Neogin Floranza
Mar 16, 2014

I^2=-1 6+(-1)=5

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...