Help on solving a math test problem……?

square root of 80 – (minus) square root of 128 +(add) square root of 288

Lets find the largest factor of 80 which is a PERFECT square

Its 16.

[draw its factors out]

80=16*5

Next

Lets find the largest factor of 128 which is a PERFECT square

Its 64.

[draw its factors out]

128=64*2

Next

Lets find the largest factor of 288 which is a PERFECT square

Its 144.

[draw its factors out]

288=144*2

Therefore we may re frame Ur question as:

√16*5+ √64*2 – √144*2

= 4√5 + 16√2 – 12√2

=4√5 +4√2

=4(√5+√2)

This is absolutely correct.

And my friend what you did was too absolutely correct!

bcoz

2 square root of 20 + (add) 4 square root of 2

is what u wrote.

Its same as:

2√20+4√2

=2√5*4 +4√2

=4√5+4√2

=4(√5+√2)

I hope you got it.

Ready for future reference.

square root 80 – square root 128 + square root 288

square root (16 x 5) – square root (64 x 2) +square root (144×2)

4(square root 5) – 8(square root 2 + 12 (square root 2)

4(square root 5) + 4(square root 2)

4((square root 5) + (square root 2))

2 square root of 20 reduces because 4×5 is 20. That will reduce to 4 square root of 5

sq. root of 128 = 8 sq. root of 2

sq. root of 288 = 12 sq. root of 2

so my answer would be 4 sq. root of 5 + 4 sq. root of 2

Looks like you just needed to reduce the first part again maybe?

And the people below me are right in factoring out the 4 also –

4(sq. root 5 + sq. root 2)

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