Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
You need to substitute the given values into the ac/b equation. After substitization and simplification, the equation ac/b simplifies to √2.
The equation that we need to evaluate is ac/b, using the variables a, b, and c given in the question. So, substituting the given values, we get:
a * c / b = √a * √10 / √5
Since a is equal to √a, we can replace a with √a in the equation, so it then becomes:
√a * √10 / √5 = √(a*10) / √5
Since a is √a, a*10 is therefore √10, so the equation becomes:
√10 / √5
That simplifies to √2 in its simplest form.
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