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Sladkaya [172]
4 years ago
5

Simplify 5 √180 (show work)

Mathematics
1 answer:
netineya [11]4 years ago
6 0
5 \/180 (please note that \/180 is the square root symbol I’m using
= 5 \/4 x \/45
= 5 x 2 \/9 x \/5
= 10 x 3 x \/5
= 30 \/5

I did this a couple of years ago in AS maths and I think this is how it’s done. Hope it’s helpful!
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3 years ago
Simplify completely x^2+4x-45 / x^2+10x+9
S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0
4 years ago
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