√(81+18√(7)+7) (not decimal form)

Mathematics

1 answer:

AlladinOne [14]4 years ago

4 0

Answer:

$\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}$

Step-by-step explanation:

$\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7$

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Delvig [45]

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3 years ago

Use the FOIL method to find the product. (x - 8)(x + 3)

Sliva [168]

Greetings and Happy Holidays!

FOIL stands for: First Outside Inside Last

FOIL is the order in which you would multiply (distributive property) the different terms:
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3 years ago

In hopes of encouraging healthier snacks at school, Leah brought in a tray of carrot sticks

aleksandr82 [10.1K]

Answer:

40 % of the snacks were carrot sticks.

Step-by-step explanation:

Total number of carrot sticks in lunch = 18

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So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices

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Now, $\textrm{Percentage of Carrot Sticks} = \frac{\textrm{The number of Carrot sticks in lunch}}{\textrm{Total snacks in the lunch}} \times 100$