Square root is a number which we are required to multiply in itself to get the original number. The square root of the given fraction are -2/3 and 2/3. Thus the option A is the correct option.
We have to find out the square root of the number 16/81. For this we need to know about the square root?
Square root is a number which we are required to multiply in itself to get the original number.
Find the number which gives the result 16/81. when multiply by itself. Let x be the number which is the square root of the number 16/81.. Then,
[tex]x=\sqrt{\dfrac{16}{81} }[/tex]
[tex]x=\dfrac{\sqrt{16}}{\sqrt{81} }[/tex]
[tex]x=\dfrac{\sqrt{4\times 4}}{\sqrt{3\times3} }[/tex]
[tex]x=\pm\dfrac{2}{3}[/tex]
Taking positive sign, we get,
[tex]x=+\dfrac{2}{3}[/tex]
Taking negative sign, we get,
[tex]x=-\dfrac{2}{3}[/tex]
Hence the square root of the given fraction are -2/3 and 2/3. Thus the option A is the correct option.
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