Question

Simplify: 5} }" alt="\sqrt{\frac{144}{25} }" align="absmiddle" class="latex-formula">.

Answer 1

Answer:

$\frac{12}{5}$

Step-by-step explanation:

$\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}$

Answer 2

Given term:

$\sqrt{\dfrac{144}{25} }$

This term can also be written as;

$\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}$

Clearly, we can see that 144 and 25 are perfect squares. Then,

$\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}$

According to an exponent property, (a²/b²) = (a/b)². Then,

$\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }$

Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;

$\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}$

Therefore, the simplified term is 2.4.

Learn more about this topic; brainly.com/question/11710437