Question

СРОЧНО√(7-√13) - √(7+√13) -2√(1/2) ???

Answer 1

$\sqrt{(7 - \sqrt{13} } ) - \sqrt{(7 + \sqrt{13} } ) - 2 \sqrt{ \frac{1}{2} }$
$\sqrt{(7 - \sqrt{13} } ) {}^{2} - \sqrt{2}$
$(7 - \sqrt{13} ) - \sqrt{2}$

Answer 2

Let's solve the expression step by step:

√(7 - √13) - √(7 + √13) - 2√(1/2)

Step 1: Simplify √(7 - √13) and √(7 + √13):

√(7 - √13) can't be simplified further because √13 is not a perfect square. √(7 + √13) can't be simplified further for the same reason.

Step 2: Simplify 2√(1/2):

√(1/2) is the same as √(1)/√(2) which is 1/√(2) because √(1) is 1. So, 2√(1/2) is 2 * (1/√(2)) which simplifies to 2/√(2).

Step 3: Combine the terms:

√(7 - √13) - √(7 + √13) - 2√(1/2) = √(7 - √13) - √(7 + √13) - 2/√(2)

Since the two square root terms cannot be further simplified, this is the final result.