Question

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\sqrt{5-2{6}} x \sqrt{5+2{6} =

Answer 1

\sqrt{5-2{6}} x \sqrt{5+2{6} =\sqrt{5-2{6}} x {5+2{6} = \sqrt{25+10{6}-10{6}-24} =\sqrt 1 = 1

Answer 2

√(5-2√6)*√(5+2√6) =

(5-2√6)^1/2 * (5+2√6)^1/2= 

=[(5-2√6)*(5+2√6)]^1/2=

=[5² -(2√6)²]^1/2=

=[25-24]^1/2=

=1^1/2=

=√1=

=1

 

a^m * b^m = (a*b)^m

(a-b)(a+b)=a²-b²

 

^ potega