Find the value of given expression √(4) * (2) ​

Question

Find the value of given expression


`√(4) * (2)`
​

Answer 1

Look at the explanation to understand.

Step-by-step explanation:

Step 1.

Apply the rule. (a) = a

For this expression, (2) = 2

`√(4)*2`

Step 2.

Multiply 4 by 2.

4 × 2 = 8

Step 3.

Prime factorization of 8: 2³

`√(2^3)`

Step 4.

Apply the exponent rule.
`(a^b^+^c=a^b* a^c)`

2³ = 2² × 2

`√(2^2*2)`

Step 5.

Apply the radical rule.
`√(ab)=√(a)√(b), a\geq 0, b\geq 0`

`√(2^2)√(2)`

Step 6.

Apply the radical rule again.
`√(a^2)=a, a\geq 0`

`2√(2)=4`

Hence, 4 is the answer.

Answer 2

Explanation:

Given

[tex] \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4

Hope it will help :)❤