Question

Q2.a) Is the equality √a^4 = a valid for all values of a? Explain.​

Answer 1

Answer:

The equality is only true for $a = 0\ and\ 1$, not for all values

Step-by-step explanation:

Given

$(\sqrt a)^4 = a$

Required

Determine if it is valid

$(\sqrt a)^4 = a$

Evaluate the exponent

$(a^\frac{1}{2})^4 = a$

$a^\frac{1*4}{2} = a$

$a^2 = a$

Rewrite as:

$a^2 - a = 0$

Factorize

$a(a- 1) = 0$

$a =0\ or\ a - 1 = 0$

$a =0\ or\ a = 1$

The equality is only true for $a = 0\ and\ 1$, not for all values