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The value of (√5 − √2)(√5 + √2) is

Question

The value of (√5 − √2)(√5 + √2) is

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Solution

The expression (√5 − √2)(√5 + √2) is in the form of (a - b)(a + b), which is a difference of squares.

The formula for difference of squares is (a - b)(a + b) = a^2 - b^2.

So, (√5 − √2)(√5 + √2) = (√5)^2 - (√2)^2 = 5 - 2 = 3.

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