Question

Help asap pleaseeeeeeeee

Answer 1

Answer:

√5

Step-by-step explanation:

Given:

$\displaystyle \large{5\div \sqrt{5}}$

Which can be rewritten as:

$\displaystyle \large{\dfrac{5}{\sqrt{5}}}$

To find:

• Simplified form

To find simplified form of the expression, keep in mind that surds should not remain as denominators. Therefore, what we have to do is to multiply both numerator & denominator by the surd itself so the denominator will be cleared as rational number.

$\displaystyle \large{\dfrac{5\cdot \sqrt{5}}{\sqrt{5}\cdot \sqrt{5}}}$

We know that if same surds multiply each other, the surd will be canceled and remains only the insides. To express it in math, it can be as:

$\displaystyle \large{\sqrt{a}\cdot \sqrt{a} = \left(\sqrt{a}\right )^2 =a}$

Therefore:

$\displaystyle \large{\dfrac{5\sqrt{5}}{5}}$

Cancel 5:

$\displaystyle \large{\sqrt{5}}$

Henceforth, the simplified expression is √5