Step-by-step explanation:
- The square root of a product of two positive real numbers is the product of their square roots.
Let 4 and 5 be the two positive real number. The square root of a product of 4 and 5 is the product of their square roots.



![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Csqrt%5Bn%5D%7Bb%7D)

so

![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)

Therefore,

NOW SOLVING BY APPLYING RADICAL RULE such that
![\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Csqrt%5Bn%5D%7Bb%7D)

as

so
Hence, The square root of a product of two positive real numbers is the product of their square roots.
17^2 - 12^2
289 - 144 = 145
Sqrt of 145 = 12.04159…
The answer rounded to two decimal places is 12.04 cm.
Answer:
From the given graph:
the coordinates of triangle RST are;
R= (2, 1),
S= (2,-2),
T= (-1,-2)
Given: Scale factor =
and center of dilation at (2,2)
The mapping rule for the dilation applied to the triangle as shown below:
; where k represents the scale factor i.e,
or we can write it as ;
For R=(2, 1)
The image R' = 
⇒ R'=
Similarly for S= (2, -2) and T= (-1,-2)
therefore, the image of S'= 
⇒ S'=
The image of T' =
⇒T' = 
Now, labelling the image of triangle R'S'T' as shown in the figure given below
The answer is B)<span>Steven earned $820 more in interest in his account than Evan.</span>