Question

Help with Operations with Radicals. Will Give Medals!

Is the simplified form of 2square root of 3 • 2square root of 6 rational?

Yes
No

Is the simplified form of 2square root of 3 + 3square root of 3 rational?

Yes
No

Answer 1

@Andras Help me please?

Answer 2

\[2\sqrt{3}*2\sqrt{6}=2*3*\sqrt{3*6}=6\sqrt{18}=6\sqrt{2*3^2}=6*3\sqrt{2}=18\sqrt{2}\]

Answer 3

So the first one is irrational

Answer 4

Oh sorry man I already solved them I need help with two important questions so I can finish my module :-((((((

Answer 5

\[2\sqrt{3}+3\sqrt{3}=(2+3)\sqrt{3}=5\sqrt{3}\]

Answer 6

Good

Answer 7

@Andras
Can you help me?

Answer 8

Maybe, I need to see the problem first

Answer 9

Explain how the Quotient of Powers was used to simplify this expression.

2 to the fifth power, over 8 = 22

By finding the quotient of the bases to be one fourth and cancelling common factors

By finding the quotient of the bases to be one fourth and simplifying the expression

By simplifying 8 to 23 to make both powers base two and subtracting the exponents

By simplifying 8 to 23 to make both powers base two and adding the exponents

Answer 10

2 to the fifth power, over 8 = 22 that is not true
2 to the fifth power, over 8 = 2^2

Answer 11

\[\frac{ 2^5 }{ 8 }=\frac{ 2^5 }{ 2^3 }=2^(5-3)=2^2=4\]

Answer 12

So what is it?

Answer 13

By simplifying 8 to 23 to make both powers base two and subtracting the exponents

Answer 14

* to 2^3
and I had 2^(5-3)

Answer 15

Clear?

Answer 16

Nope

Answer 17

\[\frac{ 2^5 }{ 8 }=\frac{ 2^5 }{ 2^3 }=2^{\left( 5-3 \right)}=2^2=4\]

Answer 18

So the ssecond one?

Answer 19

No the third one:
By simplifying 8 to 2^3 to make both powers base two and subtracting the exponents

Answer 20

This is the last one man

Answer 21

Rewrite the radical as a rational exponent.

the cube root of 2 to the seventh power

2 to the 3 over 7 power

2 to the 7 over 3 power

2^21

24

Answer 22

\[\sqrt[3]{2^7}=2^{\frac{ 7 }{ 3 }}\]

Answer 23

I think it's the first or third

Answer 24

:-) It is the second, wrong guess

Answer 25

Oops :)

Answer 26

Thanks though, heres a medal :-)