How do you simplify 338200+162?

1 Answer
Apr 13, 2018

142

Explanation:

You could try using the Fundamental Theorem of Arithmetic to express all those integers as the product of their primes.

338=21×132
200=23×52
162=21×34

What this tells us is that they all have a common factor of 2
gcd(338,200,162)=2

Since the expression contains the square root of each that means the entire expression has a factor of 2, so we can rewrite it as

2(1322252+34)
As we can see these all contain even powers and can thus be simplified!

2(1310+9)

2(14)

142