Answer the following questions about square roots of non-negative real numbers.

MATHEMATICS · Multi-part · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Answer the following questions about square roots of non-negative real numbers. (i) State the two fundamental rules that relate multiplication and division of square roots of non-negative real numbers. (ii) Using the numbers 44 and 55, verify each rule numerically. (iii) A student writes 9+16=9+16\sqrt{9+16}=\sqrt{9}+\sqrt{16}. Explain clearly why this statement is incorrect in the light of the rules stated above.

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