Understanding the Question: Square Root of a Percentage
The question asks us to find the value that, when multiplied by itself, equals 64%. This is known as finding the square root of 64%.
Step-by-Step Calculation
To solve this, we first need to convert the percentage into a more manageable form, like a decimal or a fraction.
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Convert Percentage to Decimal:
The percentage 64% can be written as a decimal by dividing by 100:
\(64\% = \frac{64}{100} = 0.64\)
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Calculate the Square Root:
Now, we need to find the square root of the decimal value 0.64.
We are looking for a number 'x' such that \(x \times x = 0.64\).
We know that \(8 \times 8 = 64\). Therefore, thinking about decimals:
\(0.8 \times 0.8 = 0.64\)
So, the square root of 0.64 is 0.8:
\(\sqrt{0.64} = 0.8\)
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Convert the Result Back to Percentage:
The result we found is 0.8. To express this as a percentage, we multiply by 100:
\(0.8 \times 100 = 80\%\)
Conclusion
Therefore, the square root of 64% is 80%. This means that if you multiply 80% by itself, you get 64%.
\(80\% \times 80\% = 0.8 \times 0.8 = 0.64 = 64\%\)
Similar Questions
- There are two employees X and Y. X's salary is first increased by 12% and then decreased by 10%, and Y's salary is first increased by 10% and then decreased by 12%. If their salaries at present are equal, then what was the ratio of initial salary of X to initial salary of Y?
100 quintals is what percent of 10 metric tonnes?
- The length, breadth and height of a cuboid are increased by 10%, 20% and 50% respectively. What is the percentage increase in volume of the cuboid?
- The total population of an area is 10,000 out of which males and females are equal in number. Out of the total population 30% are Newspaper readers. Out of the total newspaper readers, one-third read English Newspaper. Out of the total English Newspaper readers, 20% are females. What is the number of males who do not read English Newspaper?
- In a village consisting of \(p\) persons, \(x\)% can read and write. Of the males, only \(y\)% can read and write. Of the females, only \(z\)% can read and write. If \(x, y > z\), then what is the number of males in the village?
- A reduction of 10% in the price of sugar enables a person to buy 6·2 kg more for \(₹2790\). What is the reduced price per kilogram ?
- What is the percentage of copper in X ?
- What is the percentage of zinc in X ?
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
