Medal for best answer!!! What is the exact value of the expression the square root of 72 − the square root of 8 + the square root of 128 ? Simplify if possible. 8the square root of 2 12the square root of 2 8the square root of 3 12the square root of 3
Can someone help me
The answer is B 12 to the square root of 2.
\[\sqrt{72} - \sqrt{8} + \sqrt{128} = \sqrt( 36 * 2) - \sqrt( 4 * 2) + \sqrt(64 * 2)\] = \[6\sqrt(2) - 2\sqrt(2) + 8 \sqrt(2) = (6 - 2 + 8) \sqrt(2) = 12\sqrt(2)\]
are u sure its B?
See full steps above, daniel is right.
okay one more question Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4 ? (1 point) 16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over
16^0.25 = (2^4) ^0.25 = 2
A
Simplify square root of 3 multiplied by the fifth root of 3 3 to the power of 1 over 10 3 to the power of 3 over 5 3 to the power of 3 over 5 3 to the power of 7 over 10 Im pretty sure its D
3^1/2 * 3^1/5 = 3^ (1/5 + 1/2) 1/5 + 1/2 = 2/10 + 5/10 = 7/10
what choice?
D?
D
I am trying to give steps, not direct answers.
Okay well I didnt really get them
When multiplying the power is summed if the base number is the same x^ a * x^b = x^(a+b)
when the question asks you to simplify an expression , with roots you find the nearest number that you can get roots for for ex sqrt(20) we know the root of 4 ? so let it be sqrt(4 * 5) = sqrt(4) * sqrt(5) ( you can split it) 2sqrt(5)
When you have (x^b)^a = you can re-write it as x^ba
It's just simple formulas you memorize and you got every problem.
So its D?
Yeah dude, 1/2 + 1/5
okay thanks
I wish you weren't just highlighting the answers.
I did it by myself then I just wanted to make sure
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