Question

Q. Study the statements and choose the correct option.
Statement 1 - The square root of certain decimals are obtained by first changing the decimals into
fractions with perfect squares as their numerators and denominators.
Statement 2- (26.1) lies between 400 and 900
a. Statement - 1 is true & statement - 2 is false.
b. Statement - 1 is False & Statement - 2 is True.
2. Both Statements 1 & 2 are false.
d. Both Statements 1 & 2 are True.
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Answer 1

Answer:

Statement 1 and 2 are true

Answer 2

The correct option is (option d).

• According to statement 1, the square root of certain decimals is obtained by first changing the decimals into fractions with perfect squares as their numerators and denominators which is true. Take an example, a decimal as $\sqrt{0.36}$. The term inside the square root is a decimal. It will be converted first into fractions and then into perfect squares as their numerators and denominators.

         $\sqrt{0.36}=\sqrt{\frac{36}{100} }\\ =\frac{6}{10}$

• According to statement 2, the square of 20 is 400 and the square of 30 is 900. 26.1 lie between 20 and 30. So the square of 26.1 will also lie between 400 and 900.

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