50.3k views
0 votes
A+b,
√a+√b=√a+b?
Given that
DONE
is it ever possible to have
Explain.

1 Answer

1 vote

Answer:

true when a=0 or b=0

Explanation:

You want the solution to √a +√b = √(a+b).

Solution

Squaring both sides of the equation gives ...

a +2√(ab) +b = a +b

Subtracting (a+b) from both sides, we have ...

2√(ab) = 0

ab = 0 . . . . . . . divide by 2 and square

By the zero product rule, this product can be zero if and only if at least one of the factors is zero.

a = 0 or b = 0

√a +√b = √(a+b) only if at least one of 'a' or 'b' is zero.

User Sharon Nathaniel
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.