All categories

2 years ago

Combine these radicals. 3 square root of 2 -5 square root of 2

Mathematics

1 answer:

Otrada [13]2 years ago

5 0

You can see that both terms involve the square root of two. Think of it as a variable, say x. Your expression becomes

$3\sqrt{2}-5\sqrt{2} \to 3x-5x = x(3-5) = x(-2) = -2x \to -2\sqrt{2}$

You might be interested in

Ioana has three ropes whose lengths are 39 inches, 52 inches and 65 inches. She wants to cut the ropes into equal length pieces

vagabundo [1.1K]

Answer:

13 inches

Step-by-step explanation:

To find the greatest number of inches possible in the length of each piece, we need to find the greatest common divisor of 39, 52 and 65.

So, the divisors of 39 are: 1, 3 and 13

The divisors of 52 are: 1, 2, 4, 13 and 26

The divisors of 65 are: 1, 5 and 13

Therefore, the common divisors are 1 and 13. Finally the greatest common divisor is 13. It means that the greatest number of inches possible in the length of each piece is 13 inches.

6 0

2 years ago

I need help with this Order of Operations Escape Room.

ss7ja [257]

Answer:

Here are some things that could help.

Step-by-step explanation:

PEMDAS/GEMDAS

Parentheses/grouping

Exponents (x², x⁷)

Multiplication

Division

Adding

Subtracting

Example:

5²+3(12+2)+6•9

12+2 would be first, then find 5², then 6•9, then the result from 5²+3, and then add the rest of the results.

sorry I'm bad at explaining

4 0

2 years ago

Solve and explain how you did

Sliva [168]

Answer:

We conclude that:

$-\left(9x\right)^0=-1$

Step-by-step explanation:

Given:

$-\left(9x\right)^0$

To determine:

Explain how to solve the expression

<u>Solving the expression</u>

$-\left(9x\right)^0$

Apply the exponent rule

$a^0=1,\:\quad \:a\ne \:0$

so the expression becomes

$-\left(9x\right)^0\:=\:-1$

Therefore, we conclude that:

$-\left(9x\right)^0=-1$

4 0

3 years ago

Which system is equivalent to 3x squared - 4y squared = 25 over -6x squared -2y squared = 11

TEA [102]

So we are given the following system:
$3x^2-4y^2=25\\
-6x^2-2y^2=11\\\text{Multiply the second equation by -2:}\\12x^2+4y^2=-22\\\text{Add to the first equation we get:}\\15x^2=3
\text{ therefore }x=\pm \sqrt{ \frac{1}{5} }$
Using the first equation again we get:
$3x^2-4y^2=25\\
3x^2=4y^2+25\\
x^2= \frac{1}{3}(4y^2+25)\\x^2= \frac{1}{3}(4 \frac{1}{5} +25)\\= \frac{43}{5}\\x=\pm \sqrt{ \frac{43}{5} }$

3 0

3 years ago

Plz help 8th grade Math

Lelechka [254]

Answer:

Step-by-step explanation:

4 0

2 years ago