What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)
2 answers:
Answer:
98 - 40√6
Step-by-step explanation:
The words expression can be represented as follows:
(5√2 - 4√3) (5√2 - 4√3)
The question is to find the products .
(5√2 - 4√3) (5√2 - 4√3)
Multiply through to open the bracket
25 × 2 - 20√6- 20√6 + 16 × 3
50 - 20√6 - 20√6 + 48
50 - 40√6 + 48
50 + 48 - 40√6
98 - 40√6
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1762 feet would be 2 feet more. There are 5280 in a mile, divide that by three and get 1760 feet.
Answer:
A.

Step-by-step explanation:

Answer:

Step-by-step explanation:
From figure,

In triangle 

![\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]](https://tex.z-dn.net/?f=%5CRightarrow%20%28a%2Bb%29%5E2%3D%28a-b%29%5E2%2B%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20a%5E2%2Bb%5E2%2B2ab-a%5E2-b%5E2%2B2ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%204ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20O%27D%3D2%5Csqrt%7Bab%7D%20%5C%5C%5CRightarrow%20O%27%20D%3D2%5Csqrt%7Bab%7D%3DAB%20%5Cquad%20%5Cquad%20%5B%5Cbecause%20O%27%20DAB%5C%3B%5C%3B%20%5Ctext%7Bis%20a%20rectangle.%7D%5D)
Hence, 
1. Commutative property of multiplication
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