The expression is equivalent to ![\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2%7D)
.
<h2>
Given that</h2>
Expression; ![\dfrac{\sqrt{2}}{\sqrt[3]{2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%20%7D)
<h3>We have to determine</h3>
The equivalent expression to the given expression.
<h3>According to the question</h3>
To determine the equivalent relation following all the steps given below.
Expression;
The equivalent expression is;
![= \dfrac{\sqrt{2}}{\sqrt[3]{2} }\\\\= \dfrac{2^{\frac{1}{2}}}{2^{\frac{1}{3}}}\\\\ = 2^{\frac{1}{2}-\frac{1}{3}}\\\\ = 2 ^{\frac{3-2}{6}}\\\\= 2^{\frac{1}{6}}\\\\= \sqrt[6]{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%20%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B2%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%5C%5C%20%3D%202%5E%7B%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%20%3D%202%20%5E%7B%5Cfrac%7B3-2%7D%7B6%7D%7D%5C%5C%5C%5C%3D%202%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%5B6%5D%7B2%7D)
Hence, the expression is equivalent to .
To know more about Expression click the link given below.
brainly.com/question/16450385
1. You multiply both sides by a
2. You're done!!!
The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
<h3>What is Transformations?</h3>
Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
Learn more about function here:
brainly.com/question/2253924
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Answer:
Step-by-step explanation:
B because 13 x 13 = 169
3.14 x 169 = 530.7
