---
title: "If a + b + c = 6, a2 + b2 + c2 = 14 and a3 + b3 + c3 = 36, then value of abc is ?"  
description: "If a + b + c = 6, a2 + b2 + c2 = 14 and a3 + b3 + c3 = 36, then value of abc is ?"  
author: "Aditya Patel"  
published: 2019-09-18  
canonical: https://answers.mindstick.com/qa/72347/if-a-b-c-6-a2-b2-c2-14-and-a3-b3-c3-36-then-value-of-abc-is  
category: "math"  
tags: ["mathematical analysis", "mathematics"]  
reading_time: 1 minute  

---

# If a + b + c = 6, a2 + b2 + c2 = 14 and a3 + b3 + c3 = 36, then value of abc is ?

If a + b + c = 6, a2 + b2 + c2 = 14 and a3 + b3 + c3 = 36, then [value](https://www.mindstick.com/articles/23219/an-optimized-description-adds-value-to-experience-and-in-turn-effectively-guest-posting-packages) of abc is:

a) 3

b) 5

c) 6

d) 12

## Answers

### Answer by Sanat Shukla

**Answer** - **(c)** **Explanation:** a + b + c = 6 a2+b2+c2 = 14 a3+b3+c3 = 36 Put value as a=1, b=2,c=3 1+2+3 = 6 1+4+9 = 14 1+8+27 = 36 ∴ abc= 1×2×3 = 6


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Original Source: https://answers.mindstick.com/qa/72347/if-a-b-c-6-a2-b2-c2-14-and-a3-b3-c3-36-then-value-of-abc-is

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