Question

2 √18 + 5 √50 – 0,25 √32 + 7√12=​

Answer 1

Розвʼязок
√18 + 5√50 - 0,25√32 + 7√12



√18 = √(9 * 2) = 3√2
√50 = √(25 * 2) = 5√2
√32 = √(16 * 2) = 4√2
√12 = √(4 * 3) = 2√3


3√2 + 5√2 - 0,25 * 4√2 + 7 * 2√3

3√2 + 5√2 - 1√2 + 14√3

(3 + 5 - 1)√2 + 14√3 = 7√2 + 14√3

Отже, вираз √18 + 5√50 - 0,25√32 + 7√12 дорівнює 7√2 + 14√3.

Answer 2

Ответ:

2√18 + 5√50 -

1

4

4

1

√32 - 7√2 = 6√2 + 25√2 - 1√2 - 7√2 = 23√2

a)

−

2

�

2

=

−

450

�

2

=

−

450

:

(

−

2

)

�

2

=

225

�

1

=

15

�

2

=

−

15

−2x

2

=−450

x

2

=−450:(−2)

x

2

=225

x

1

=15x

2

=−15

б)

4

�

2

−

28

=

0

4

�

2

=

28

�

2

=

28

:

4

�

2

=

7

�

1

=

4x

2

−28=0

4x

2

=28

x

2

=28:4

x

2

=7

x

1

=

√7

�

2

=

x

2

=

√7

Answer 3

To simplify the expression 2√18 + 5√50 - 0.25√32 + 7√12, you can first simplify the square roots:

1. Simplify the square root of 18: √18 = √(9 * 2) = 3√2

2. Simplify the square root of 50: √50 = √(25 * 2) = 5√2

3. Simplify the square root of 32: √32 = √(16 * 2) = 4√2

4. Simplify the square root of 12: √12 = √(4 * 3) = 2√3

Now, substitute these values back into the original expression:

2√18 + 5√50 - 0.25√32 + 7√12 = 2(3√2) + 5(5√2) - 0.25(4√2) + 7(2√3)

Now, perform the multiplications:

= 6√2 + 25√2 - √2 + 14√3

Now, combine like terms (terms with the same radical):

= (6√2 + 25√2 - √2) + 14√3

= (30√2 - √2) + 14√3

Now, simplify further:

= 29√2 + 14√3

So, 2√18 + 5√50 - 0.25√32 + 7√12 simplifies to 29√2 + 14√3.