The square root of 5th and forth

Algebra Level 2

3 5 + 3 4 = ? \sqrt{3^5 + 3^4} = \, ?

18 36 2 Cannot be simplified 9

Anbuselvi Me by Anbuselvi Me , 13, Singapore

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.

2 solutions

Anbuselvi Me
Jun 1, 2021

Expand 3^5 into 3^4 * 3 3^4 + 3^4 * 3 = 3^4 * 4 This can be further simplified into 3^4 * 2^2 Taking the square root of that gives 3^2 * 2 = 18 .

2 Helpful 0 Interesting 1 Brilliant 1 Confused

Nice solution, you should see the latex guide to frame your solution and questions in better way!

SRIJAN Singh - 1 week, 3 days ago

Your solution is definitely helpful. I agree with Srijan

Richard Costen - 1 week, 3 days ago

Log in to reply

Nice, appreciated 😊

SRIJAN Singh - 1 week, 2 days ago

3 5 + 3 4 = 3 4 ( 3 + 1 ) = 3 2 4 = 9 ⋅ 2 = 18 \sqrt{3^5+3^4} = \sqrt{3^4(3+1)} = 3^2 \sqrt 4 = 9 \cdot 2 = \boxed {18}

0 Helpful 0 Interesting 1 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...