I am not sure how to multiply and simplify this problem:
Sqrt 50 * Sqrt 54
When you are dealing with square roots, you need to find perfect squares within.
50=25 x 2 (25 is a perfect square because it has an even square root of 5) so this becomes 5sqrt2
54= 6 x 9 (9 is the perfect square because the sqrt is 3) so this becomes 3sqrt 6
so your answer is 5sqrt2*3sqrt6
Thanks Jen!
Ur welcome! :)
and
5√2 * 3√6
= 15√12
= 15*2√3
= 30√3
To multiply and simplify the expression √50 * √54, we can follow these steps:
Step 1: Simplify the square roots separately.
√50 is the same as √(25 * 2), which simplifies into √25 * √2.
√25 is 5, so √25 * √2 becomes 5 * √2.
Step 2: Continue simplifying.
Now we have 5 * √2 * √54. Since √2 and √54 cannot be simplified further, we leave them as they are.
Step 3: Multiply the numbers outside the square roots.
5 * √2 * √54 can be written as 5√2 * √54.
Step 4: Multiply the numbers inside the square roots.
√54 can be rewritten as √(9 * 6). This simplifies to √9 * √6, and since √9 is 3, we have 3 * √6.
Step 5: Simplify further if possible.
After multiplying the numbers inside the square roots, we have 5√2 * 3√6.
Step 6: Multiply the numbers outside the square roots.
Finally, multiply the numbers outside the square roots: 5 * 3 = 15.
Together, the expression simplifies to 15√2 * √6.