If | a + b |²+| a b |²=144| a |=6 , then | b | is equal to

Step-by-step solution

We have, | a + b |²+| a b |²=144, and | a |=6 We know that, | a + b |²+| a b |²=(| a || b |)² | a |²| b |²=144 (6)²| b |²=144 | b |²=4 | b |=2