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169=13²
1.69=169/100=13²/10²
√1.69
√13²/10²
13/10
1.3
answer is A
169=13²
1.69=169/100=13²/10²
√1.69
√13²/10²
13/10
1.3
answer is A
Square root helps to find the factor of a number which when multiplied by itself gives us the number. The value of √1.69 is √1.3.
What is square root?
Square root can be defined as the process of finding a number which is a factor of a number when multiplied by itself to get a number.
In order to evaluate the value of √1.69, we will convert decimal value 1.69 into a fraction, therefore, the fraction can be written as,
[tex]1.69 = \dfrac{169}{100}[/tex]
Now, using this equivalent value of 1.69, the evaluation can be written as,
[tex]\sqrt{1.69}\\\\= \sqrt{\dfrac{169}{100}}[/tex]
Further, using the exponential property the value can be written as,
[tex]= \sqrt{\dfrac{169}{100}}\\\\\\={\dfrac{\sqrt{169}}{\sqrt{100}}}\\\\\\=\dfrac{13}{10}\\\\=1.3[/tex]
Hence, the value of √1.69 is √1.3.
Learn more about Square root:
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