Answer:
8.04 units
Step-by-step explanation:
By Pythagoras Theorem:
If you list out the factors of each number, it would look something like this:
36: 1,2,3,4,6,9,12,18,36
40: 1,2,4,5,8,10,20,40
In this case, the GCF of both numbers would be 4
prime factor stuff.. 32 = 8*4 = (4*2)*(2*2) = (2*2*2)*(2*2)
3 √(2*2*2*2*2*x*x*x*x*z) = 3 √(2²*2²*2*x²*x²*z)
It's a square root so move one of each pair outside the radical.
3*2*2*x*x √(2*z)
12x² √(2z)
A function is a black box, with a funnel to put numbers in, a chute where
numbers come out, a crank on the side, and some machinery inside.
You put a number in, turn the crank, and a number comes out ... usually
different from the one you put it.
If you do that enough times with enough different numbers, you can figure out
what machinery is inside.
Or, if you know what the machinery is, then when you put a number in,
you can always predict what number will come out.
Sol. (1) Prime factors of 26 = 2 x 13
Prime factors of 91 = 7 x 13
Hence, HCF = Common factors between 26 and 91 =13 and LCM=13x2x7=182
Now product of numbers 26 and 91
= 26 x 91 = 2366 and Product of HCF and LCM = 13 x 182 = 2366
So, it verify that product of two numbers = Product of HCF and LCM.
(2) Prime factors of 510 = 2 x 3 x 5 x 17
Prime factors of 92 = 2 x 2 x 23
Hence,HCF=2 and LCM=2×2×3 × 5×17×23 =23460
Now product of Numbers 510 and 92 = 46920 and product of HCF and LCM = 2 x 23460= 46920
Hence, verified that product of two numbers 18 equal to product of their HCF and LCM.
(3) Prime factors of336 = 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 54 = 2 x 3 x 3 x 3
Hence, HCF (Product of common factors of 336 and 54)
=2 x 3=6
And LCM (Product of all common factors with remaining factors)
=(2 x 3)x 2 x 2 x 2 x 3 x 3 x 7=3024
Now, product of numbers 336 and 54 = 336 x 54 = 18144
and product of HCF and LCM = 6 x 3024 = 18144
Hence, product of two numbers: Product of HCF and LCM.
