If you have a/√b, which expression is equal to it?

If you have a/√b, which expression is equal to it?

• A. (a√b)/b
• B. (a/√b) x (√b/√b)
• C. (a x b)/(√b x √b)
• D. √(a/b)

Answer: (B)

To understand why the expression \((a/√b) \times (√b/√b)\) is equal to \(a/√b\), let’s break it down. Starting with the expression \(a/√b\), multiplying it by \(√b/√b\) is effectively multiplying by a form of 1, since \(√b/√b\) is equivalent to 1 as long as \(b\) is positive and not equal to zero. This multiplication does not change the value of the original expression, but it transforms it into a different form. Carrying out the multiplication, we have: \[ \frac{a}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}} = \frac{a \cdot \sqrt{b}}{\sqrt{b} \cdot \sqrt{b}} = \frac{a \cdot \sqrt{b}}{b} \] Here, we find that the numerator becomes \(a \cdot \sqrt{b}\) and the denominator becomes \(b\) (since \(\sqrt{b} \cdot \sqrt{b} = b\)). The resulting expression

To understand why the expression ((a/√b) \times (√b/√b)) is equal to (a/√b), let’s break it down.

Starting with the expression (a/√b), multiplying it by (√b/√b) is effectively multiplying by a form of 1, since (√b/√b) is equivalent to 1 as long as (b) is positive and not equal to zero. This multiplication does not change the value of the original expression, but it transforms it into a different form.

Carrying out the multiplication, we have:

[

\frac{a}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}} = \frac{a \cdot \sqrt{b}}{\sqrt{b} \cdot \sqrt{b}} = \frac{a \cdot \sqrt{b}}{b}

]

Here, we find that the numerator becomes (a \cdot \sqrt{b}) and the denominator becomes (b) (since (\sqrt{b} \cdot \sqrt{b} = b)).

The resulting expression