Rewrite the irrational square root 48−−√ as the product of an integer and another irrational square root.(1 point)

10 answers

√48 can be simplified as √(16*3) which is equal to √16 * √3.
√16 is equal to 4 since 4*4=16, so the square root of 16 is an integer.

Therefore, √48 can be rewritten as 4√3.
What is the irrational square root 28−−√ simplified?
√28 can be simplified as √(4*7), which is equal to √4 * √7.
√4 is equal to 2 since 2*2=4, so the square root of 4 is an integer.

Therefore, √28 can be simplified as 2√7.
Rewrite the irrational cube root 48−−√3 as a product of an integer and another irrational cube root.
To rewrite ∛48 as a product of an integer and another irrational cube root, we can find a perfect cube that divides 48.

48 does not have a perfect cube factor, so we can simplify it by factoring out the largest perfect cube, which is 2³.

∛48 = ∛(2³ * 6)

Since ∛(2³) simplifies to 2, and the irrational cube root of 6 remains the same, we can rewrite it as:

2∛6
What is the irrational cube root −24−−−−√3 rewritten as a product of an integer and another irrational cube root?
To rewrite −24−−−−√3 as a product of an integer and another irrational cube root, we can find a perfect cube that divides -24.

-24 does not have a perfect cube factor, so we can simplify it by factoring out the largest perfect cube, which is -2³.

−24−−−−√3 = -2³∛3

Therefore, the irrational cube root −24−−−−√3 can be written as -2∛3.
What is the irrational cube root 40−−√3 rewritten as a product of an integer and another irrational cube root?
To rewrite ∛40 as a product of an integer and another irrational cube root, we can find a perfect cube that divides 40.

40 does not have a perfect cube factor, so we need to represent it as a product of perfect cubes.

We can write 40 as (8 * 5). Notice that 8 is a perfect cube because it can be expressed as 2^3.

∛40 = ∛(8 * 5)

Using the property of radicals, we can separate the product of radicals and simplify:

∛(8 * 5) = ∛8 * ∛5

Since √8 simplifies to 2 and the irrational cube root of 5 remains the same, we can rewrite it as:

2∛5

Therefore, the irrational cube root ∛40 can be written as 2∛5.
hooraY! its all RIGHTT
Similar Questions
  1. Products of Irrational Square Roots Quick Check1 of 51 of 5 Items Question Rewrite the irrational square root √48 as the
    1. answers icon 1 answer
    1. answers icon 3 answers
  2. Products of Irrational Square Roots Quick Check3 of 53 of 5 Items Question Rewrite the irrational cube root ^3√48 as a product
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions