![ob3ymysins](/avatars/23356.jpg)
ob3ymysins
10.07.2019 •
Mathematics
When x is a perfect square, what is true about the cube of x
Solved
Show answers
More tips
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
Answers on questions: Mathematics
- M Mathematics Help a girl out please and thank you ;)...
- M Mathematics In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles....
- M Mathematics Ar 12. Sierra invests $1500 in a savings account that yields 2% interest. Sierra would like to earn $180 on her investment. In how many years will she have $1680?...
- M Mathematics Subscribe to friend you-tube channel he really be trying to make good content for yall subscribe it means alot to us thank you ;D you-tube channel: Itzyoboiadriane ON GANG...
- M Mathematics HELP ME LOOK AT THE PHOTO...
- M Mathematics What is the slope of the line through? (-4, 2) and (3, -3)?...
- M Mathematics Can someone help me with this right now? :(...
- M Mathematics You want to buy a pet rabbit that costs $45. You already have $11 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit,...
- M Mathematics 3 white shirts and 2 black shirts are 10 dollars per shirt. Which quantities in the advertisement represent a unit rate? 3 white shirts to 2 black shirts 2 black shirts for every...
- M Mathematics 4. eters 1 times 4 the statue s son 3) Which two expressions are equivalent? (6.1B, 6.1F) A (x + 7) + 1 and 8.x B0. (x. 12) and 12 - x C (9.x) . 1 and x. 9 DX + (150) and 15 • X...
Ответ:
We are given x is a perfect square.
Let us take x in terms of another variable p.
Let us assume square root of x gives a value p (because x is a perfect square, square root of x would give a perfect number).
Squaring both sides, we get
Square cancels a square root, so we get only x on left side.
We need to find the value of x cube.
Taking cube on both sides, we get
Applying power of power rule of exponents (we multiply power of power).
We can see p^6 is also a perfect square.
So, we could say x^3 is also a perfect square.
Ответ: