Question

sub triplicate ratio of 125:512

Answer 1

$sub \: triplicate \: ratio \: of \: \frac{125}{512 } \\ = \sqrt[3]{ \frac{125}{512} } \\ = \sqrt[3]{ \frac{5 \times 5 \times 5}{8 \times 8 \times 8} } \\ = \frac{5}{8}$
sub triplicate ratio =5:8
HOPE IT HRLPS U
PLEASE MARK AS BRAINLIEST

Answer 2

The sub triplicate ratio of 125 : 512 is 5 : 8

Given :

The ratio 125 : 512

To find :

The sub triplicate ratio of 125 : 512

Concept :

For a given ratio the sub triplicate ratio is the ratio between the cube roots of the two numbers.

More precisely for a given ratio a : b the sub triplicate ratio of a : b is ∛a : ∛b

Solution :

Step 1 of 2 :

Write down the given ratio

Here the given ratio is 125 : 512

Step 2 of 2 :

Find the sub triplicate ratio

We know that for a given ratio a : b the sub triplicate ratio of a : b is ∛a : ∛b

Hence the sub triplicate ratio of 125 : 512

$\displaystyle \sf = \sqrt[3]{125} : \sqrt[3]{512}$

$\displaystyle \sf = \sqrt[3]{ {5}^{3} } : \sqrt[3]{ {8}^{3} }$

$\displaystyle \sf = 5 : 8$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Ratio 40cm : 2m simplest form

https://brainly.in/question/17017106

2. Ratio of 75 cm to 1 meter 25 cm

https://brainly.in/question/44034082

#SPJ2