1. Prove that the product root is equal to the product of the product factor root;

Let the product be ab and the factors be A and B respectively. Then the square root of the product is (AB) 1/2, which is exactly equal to A 1/2× B 1/2, that is, it is equal to the square root multiplication of the product factor. The proposition is proved;

2. Prove that the quotient root is equal to the dividend. Eradicate by divisor root:

Let the quotient be A/B, and the dividend and divisor are a and b respectively. Then the root of the quotient is equal to (a/b) 1/2, which is exactly equal to a 1/2/b 1/2, that is, it is equal to the root of the divisor. The proposition is proved.

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