Question

(√7-√3) ² simplify the following​

Answer 1

$( \sqrt{7 - \sqrt{3) { = 0.83484861}^{2} } }$

Answer 2

Answer:

(√7-√3) ² = 2(5 - $\sqrt{21}$)

Step-by-step explanation:

Required to simplify (√7-√3) ²

Recall the formula

1. (a+b)² = a²+b²+2ab
2. (√a) ² = a
3. √a×√b =$\sqrt{ab}$

Solution:

By applying (a+b)² = a²+b²+2ab) in  (√7-√3) ² we get

(√7-√3) ² = (√7) ²+(√3) ² - 2×√7×√3

By applying (√a) ² = a we get

(√7-√3) ² = 7+3-2×√7×√3

By applying √a×√b =$\sqrt{ab}$ we get

(√7-√3) ² = 10 -2 $\sqrt{21}$

(√7-√3) ² = 2(5 - $\sqrt{21}$)

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