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Square and square Roots

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.




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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...

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