simplify
4 square root3 *5 square root 2 * 6 square root 12
4√3(5√2)(6√12)
= 120√72
= 120(√36)(√2)
= 720√2
i have another like that can you help with that one as well
sure.
Did you follow my steps?
do the same thing with the other one you have,
type the original question and your answer so I can see what you did.
4 square root 63 - 3 square root 28
i don't get this one
remember you can only add or subtract "like" radicals.
The first one was multiplication which is much more straightforward.
4√63 - 3√28
= 4(√9)(√7) - 3(√4)(√7)
= 12√7 - 6√7
= 6√7
To simplify the expression 4√3 * 5√2 * 6√12, we need to apply the properties of square roots and simplify any numbers or expressions under the radical sign.
Let's break it down step by step:
1. Start by multiplying the numbers outside of the square root sign:
4 * 5 * 6 = 120
The expression now becomes:
120√3 * √2 * √12
2. Next, simplify the numbers or expressions under each square root:
√3 cannot be simplified further because 3 is a prime number.
√2 cannot be simplified further because 2 is also a prime number.
For √12, we can break it down into its prime factors:
√12 = √(2 * 2 * 3) = 2√3
So, our expression now becomes:
120√3 * √2 * 2√3
3. Now, we can multiply the numbers outside the square root sign:
120 * 2 = 240
The expression becomes:
240√3 * √2 * √3
4. Finally, simplify the remaining square roots:
√3 * √3 = 3 (since the square root of a number multiplied by itself is the number itself)
So, the fully simplified expression is:
240 * 3 * √2
And we multiply the numbers outside the square root sign:
240 * 3 = 720
The final simplified expression is:
720√2