Square Root of a Percent

1. Convert the percentage into a decimal, $1\% = 0.01$

2. Take the square root, $\sqrt{0.01} = 0.1$

3. Convert back from decimal into percentage, $0.1 = 10\%$ .

$\sqrt{\frac{1}{100}}=\frac{\sqrt{1}}{\sqrt{100}}=\frac{1}{10}$

$1\%$ is equivalent to 0.01 or $\frac{1}{100}$ . So we are essentially computing $\sqrt{\frac{1}{100}}$ .

$\sqrt{\frac{1}{100}} = \frac{1}{10} = 0.1 \text{ or } 10\%$

$\sqrt{\frac{1}{100}}=\frac{1}{10}=0.1=10\%$

I did this way: $\sqrt{1\%} \rightarrow \sqrt{\frac{1}{100}} \rightarrow \sqrt{100^{-1}} \rightarrow 10^{-1} \rightarrow \frac{1}{10} \rightarrow 10\%$

Then I realized that doing $\frac{\sqrt{1}}{\sqrt{100}}$ would be enough. :P

√1%=√(1/100)

=√1/√100

=1/10

=0.1

=10%

just ask cortana

1% = $\frac{1}{100}$

Therefore, $\sqrt { 1\%} = \sqrt { \frac { 1 }{ 100 } }$ , and we can now simply:

$\sqrt { 1\% } = \sqrt { \frac { 1 }{ 100 } } = \frac { \sqrt { 1 } }{ \sqrt { 100 } } = \frac { 1 }{ 10} = .1 = 10\%$

$Q\bullet E\bullet D$

1)1%=1/100

2)√1%=1/10

3) in the form of % ie 1/10×100=10%

1% = 1/100, So find the square root of 1/100 , which is 1/10. Hence multiply by 10 to both numbers we get, 10/100, which can be written as 10%. Tada ! Done!

so answer is 0.1 (10%).

$1\%$ can be expressed as $\frac{1}{100}$ so $\sqrt{1\%}$ = $\sqrt{\frac{1}{100}}$ = $\frac{1}{\sqrt{100}}$ = $\frac{1}{10}$ = $10\%$

$1\%=\frac {1}{100} \newline \sqrt[2]{\frac {1}{100}}=\frac {1}{10}=10\%$

We can solve the problem really easily. First step: Change 1% into a decimal, which is 0.01. Second step: Take the square root of 0.01, which is 0.1. Third step: Convert it into a percentage and you are done!

$1\%=0.01=0.1^2$ hence $sqrt(1\%)=0.1$

• well you can use a calculator 1% = .01 so then you continue from there and on!
• or you can also ask cortana or google

$\sqrt{1\%} = \sqrt{\frac{1}{100}}$

$\sqrt{1\%} = \frac{\sqrt{1}}{\sqrt{100}}$

$\sqrt{1\%} = \frac{1}{10}$

$\sqrt{1\%} = 0.1$

$\therefore \sqrt{1\%} = 10\%$

$1\%=\frac{1}{100}=\frac{1}{100} \implies \sqrt{\frac{1}{100}}=\frac{\sqrt{1}}{\sqrt{100}}=\frac{1}{10}=\boxed{\large{10\%}}$

1% is read as 1 percent. (since percent = per 100) therefore 1% = 1/100 now $\sqrt{1/100} = 1/10$ now it's almost done 1/10 converting into percent will be 10/100 or 10per cent or 10%. (keeping it simple)

I did a similar thing with the percentages. In math, any whole number like 1 represents 100% of a substance, like 100% of a cookie is one cookie with every crumb attached (like in its packing). So, the square root of 1% or .01 has to be a number multiplied by itself to give us two decimal places, like .10 or equivalently, 10%.

( 1/100 )^( 1/2 )=1^( 1/2 )/100^( 1/2 )=1/10=10%

1% as a fraction is 1/100

Numerator sqrt of 1 = 1 Denominator sqrt of 100 = 10

Therefore it's 1/10 or 10%

1. 1%=1/100
2. sqrt(1/100)=1/10
3. 1/10=10%
4. That"s all!

1% = 1/100

√1/√100 = 1/10

It's simple just look over question. That's 1% inside root. Now 1%=1/100.now 1/100 inside root becomes 1/10. And 1/10=0.1 yeah! Now the options were in percent therefore 0.1becomes 10%!That's all haaaaaaa!

√(1%) = √0.01 = 0.1 = 1/10 = 10%

$\sqrt{1 \%} = \sqrt{\frac{1}{100}} = \frac{1}{10}\\ \Rightarrow \frac{1}{10} \times 100 = 10 \%$

√1% = √0.01 = 0.1 = 10% :)

There are 2 solutioon

a- %1= 0.01 = 0.1 x 0.1 then the square root is +0.1 = %10
b- %1= 0.01 = (- 0.1) x (-0.1) then the square root is - 0.1 = -%10