Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

# If A/B = C/D Prove that Each of the Given Ratio is Equal To: ((8a^3 + 15c^3)/(8b^3 + 15d^3))^(1/3) - ICSE Class 10 - Mathematics

Login
Create free account

Forgot password?

#### Question

if a/b = c/d prove that each of the given ratio is equal to: ((8a^3 + 15c^3)/(8b^3 + 15d^3))^(1/3)

#### Solution

Let a/b = c/b = k

Then a =  bk and c = dk

((8a^3 + 15c^3)/(8b^3 + 15d^3))^(1/3) =  [(8(bk)^3 + 15(dk)^3)/(8b^3 + 15d^3)]^(1/3) = [(k^3(8b^3 + 15d^3))/(8b^3 + 15d^3))]^(1/3) = k = each given ratio

Is there an error in this question or solution?

#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7B | Q: 18.4

#### Video TutorialsVIEW ALL [1]

Solution If A/B = C/D Prove that Each of the Given Ratio is Equal To: ((8a^3 + 15c^3)/(8b^3 + 15d^3))^(1/3) Concept: Proportions.
S