# Square and square Roots

by Indumathi
(Yemen)

I need answers step by step for following questions;

1.The product of two positive numbers 9 18/25(the numbers are in mixed fraction)and one of them is three times the other.find the numbers.
2.The product of two positive numbers is 5 5/64(the numbers are in mixed fraction)and their h.c.f is 3 1/4.find the square root of the l.c.m of the two numbers.
3.what is the number which when multiplied by itself gives 944.578756?
4.thesides of two squares are 2.4 and1.8 metres long respectively.find th side of a new square equal to the sum of the two squares in area.
5.the area of a square garden is 331.24 sq.metre.find the length of railing required to fence it.

### Comments for Square and square Roots

 Nov 13, 2011 Square and Square Roots by: Staff Question: by Indumathi (Yemen) hello sir/madam, I need answers step by step for following questions; 1.The product of two positive numbers 9 18/25(the numbers are in mixed fraction)and one of them is three times the other.find the numbers. 2.The product of two positive numbers is 5 5/64(the numbers are in mixed fraction)and their h.c.f is 3 1/4.find the square root of the l.c.m of the two numbers. 3.what is the number which when multiplied by itself gives 944.578756? 4.thesides of two squares are 2.4 and1.8 metres long respectively.find th side of a new square equal to the sum of the two squares in area. 5.the area of a square garden is 331.24 sq.metre.find the length of railing required to fence it. Answer: 1.The product of two positive numbers 9 18/25(the numbers are in mixed fraction)and one of them is three times the other.find the numbers. 9 18/25 = 9.72 x * y = 9.72 y = 3x substitute 3x for y in the first equation x * y = 9.72 x * 3x = 9.72 3x^2 = 9.72 3x^2 / 3 = 9.72 / 3 x^2 * (3 / 3) = 9.72 / 3 x^2 * (1) = 9.72 / 3 x^2 = 9.72 / 3 x^2 = 3.24 sqrt(x^2) = sqrt(3.24) x = +-1.8 = +-9/5 if x = +9/5 y = + (9/5) * 3 y = + (27/5) if x = -9/5 y = - (9/5) * 3 y = - (27/5) the final answer to question 1: (x=-9/5, y=-27/5) (x=9/5, y=27/5) 2.The product of two positive numbers is 5 5/64 (the numbers are in mixed fraction) and their h.c.f is 3 1/4. find the square root of the l.c.m of the two numbers. 5 5/64 = 5.078125 A = 1st number B = 2nd number HCF = 3.25 If A is factored: A = HCF * all other factors x = all other factors for A A = 3.25 * x If B is factored: B = HCF * all other factors y = all other factors for B B = 3.25 * y A * B = 5.078125 (3.25 * x) * (3.25 * y) = 5.078125 (3.25^2) * x * y = 5.078125 (3.25^2)xy = 5.078125 A = 3.25 * x B = 3.25 * y LCM = (3.25)xy LCM = 5.078125 / 3.25 = 1.5625 The square root of the LCM = sqrt(5.078125 / 3.25) = 1.25 = 5 / 4 3.what is the number which when multiplied by itself gives 944.578756? x = +-sqrt (944.578756) = +- = +- (15367/500). 4.thesides of two squares are 2.4 and1.8 metres long respectively.find th side of a new square equal to the sum of the two squares in area. A_1 + A_2 = 2.4^2 + 1.8^2 = 5.76 + 3.24 = 9 square meters Side of the new square = sqrt(9) = 3 meters 5.the area of a square garden is 331.24 sq.metre.find the length of railing required to fence it. Railing = 4 * side of square Railing = 4 * sqrt(331.24) = 72.8 meters Thanks for writing. Staff www.solving-math-problems.com

 Apr 23, 2012 thanks by: Anonymous thank you thank you so much..

 Apr 23, 2012 Square and square Roots by: Saff Your Welcome! Thanks for writing. Staff www.solving-math-problems.com

 Sep 11, 2015 appreciation NEW by: Badar Shah Its too precious site for maths students.. I am really pleased to seeit...

 Apr 22, 2018 Please solve this whole question NEW by: U R What is the number which when multiplied by itself gives 944.578756?