Question

Help plz i give brainiest

Answer 1

Answer:

a) 5²/4². b) 4.2²/2.8²

This is your answer ☺️☺️

Answer 2

Answer:

a. $\frac{5}{4}$

b. $\frac{3}{2}$ or $1\frac{1}{2}$

Steps:

For a.)

• Apply radical rule: $\sqrt[n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt[n]{b} }$, assuming $a\geq 0,b\geq 0$

• = $\frac{\sqrt{25} }{\sqrt{16} }$

$\sqrt{16}=4$

$\frac{\sqrt{25} }{4}$

$\sqrt{25} =5$

$=\frac{5}{4}$

For b.)

• $\frac{\sqrt{18} }{\sqrt{8} }$

1. Apply radical rule: $\frac{\sqrt{a} }{\sqrt{b} } =\sqrt{\frac{a}{b} }$

• Which means$\frac{\sqrt{18} }{\sqrt{8} }=\sqrt{\frac{18}{8} }$

$=\sqrt{\frac{18}{8} }$

2. Cancel $\frac{18}{8}$: $\frac{9}{4}$

= $\sqrt{\frac{9}{4} }$

Now apply the radical rule: $\sqrt[n]{\frac{a}{b} } =\frac{\sqrt[n]{a} }{\sqrt[n]{b} }$  assuming $a\geq 0,b\geq 0$

• = $\frac{\sqrt{9} }{\sqrt{4} }$

$\sqrt{4}=2$

$=\frac{\sqrt{9} }{2}$

$\sqrt{9}=3$

The final answer for b.) should be $\frac{3}{2}$