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?
What is 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,
\(x=\sqrt{\dfrac{16}{81} }\)
\(x=\dfrac{\sqrt{16}}{\sqrt{81} }\)
\(x=\dfrac{\sqrt{4\times 4}}{\sqrt{3\times3} }\)
\(x=\pm\dfrac{2}{3}\)
Taking positive sign, we get,
\(x=+\dfrac{2}{3}\)
Taking negative sign, we get,
\(x=-\dfrac{2}{3}\)
Hence the square root of the given fraction are -2/3 and 2/3. Thus the option A is the correct option.
Learn more about the square root here;
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