The square pqrs is shown.

Mathematics

1 answer:

ira [324]3 years ago

5 0

Answer:

1:1

Step-by-step explanation:

The ratio would be 1:1 since it's a square, the sides will always be the same. In a square ,all sides are the same length. If they are not, then it wouldn't be a square.

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What is the following quotient 6-3(^3√6)/^3√9

azamat

Answer:

$2\sqrt[3]{3}-\sqrt[3]{18}$

Step-by-step explanation:

We first rationalize the denominator. This means we multiply the numerator and denominator by a factor that will make the denominator a whole number.

Our denominator is $\sqrt[3]{9}$ ; this can also be written as $9^{\frac{1}{3}}$ .

For 9 to be a whole number, its exponent must be a whole number. We want to add 2/3 to the exponent of 9 on the bottom; this means we multiply by $9^{\frac{2}{3}}$ :

On the numerator, this gives us:

6(9^(2/3))-3(6^(1/3))(9^(2/3))

= $6\sqrt[3]{9(9)} -3\sqrt[3]{2(3)}(\sqrt[3]{9(9)}) \\\\=6\sqrt[3]{3(3)(3)(3)}-3\sqrt[3]{2(3)(3)(3)(3)(3)}\\\\=6(3)\sqrt[3]{3}-3(3)\sqrt[3]{2(3)(3)}\\\\=18\sqrt[3]{3}-9\sqrt[3]{18}$