# Maths - Square Root

by Ross
(Lucknow, UP, India)

1-10underroot5000/105000*100

compute the value of the given statement in two different ways:

1. Compute the decimal value

2. Simplify the mathematical expression to the maximum extent possible, without converting the expression to its decimal equivalent.

### Comments for Maths - Square Root

 Sep 14, 2011 Evaluate Expression - Square Root by: Staff The question: by Ross (Lucknow, UP, India) 1-10underroot5000/105000*100 The answer: 1-10underroot5000/105000*100 = 1 - 10√[(5000/10500)*100] = 1 - 10√[(5000*100)/10500] = 1 - 10√[(500000)/10500] = 1 - 10√[(5000)/105] = 1 - 10√(1000/21) ≈ 1 - 10√(47.6190476190476) ≈ 1 - 10*6.9006555934235 ≈ 1 - 69.006555934235 ≈ - 68.006555934235 OR = 1 - 10√[(5000/10500)*100] = 1 - 10*√[(5000*100)/10500] = 1 - 10*√[(500000)/10500] = 1 - 10*√[(5000)/105] = 1 - 10*√(1000/21) = 1 - 10*√(1000) / √(21) = 1 - 10*[√(1000) / √(21)]* [√(21) / √(21)] = 1 - 10*{[√(1000)] * [√(21)] } / {[√(21)] * [√(21)]} = 1 - 10*{[√(1000)] * [√(21)] } / 21 = 1 - 10*[√(1000*21)] / 21 = 1 - 10*[√(21000)] / 21 = 1 - 10*[√(100*210)] / 21 = 1 - 10*[√(10²*210)] / 21 = 1 - 10*[√(10²)*√(210)] / 21 = 1 - 10*[10*√(210)] / 21 = 1 - [10*10√(210)] / 21 = 1 - [100√(210)] / 21 The final answer is: ≈ - 68.006555934235 or = 1 - [100√(210)] / 21 Thanks for writing. Staff www.solving-math-problems.com