Question

The expression above should be further simplified for which value of x?

Sq rt 215x
A) 35
B) 118
C) 34
D) 7

Answer 1

The expression √215x should be further simplified for (a) 35 as the value of x

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

√215x

Taking each value of x from the list of options, we have

√215x = √(215 * 35)

Expanding, we get

√215x = √(5 * 43 * 7 * 5)

This gives

√215x = 5√301

Next, we have

√215x = √(215 * 118)

Expanding, we get

√215x = √(5 * 43 * 2 * 59)

This gives

√215x = √(25370)

Next, we have

√215x = √(215 * 34)

Expanding, we get

√215x = √(5 * 43 * 2 * 17)

This gives

√215x = √7310

Next, we have

√215x = √(215 * 7)

Expanding, we get

√215x = √(5 * 43 * 7)

This gives

√215x = √1505

Hence, the value of x is 35

Answer 2

Answer: A) 35

Explanation:

We have the following:

`√(215 x)`

Now,
`215` is made up of two factors,
`43` and
`5`:

`215=(43)(5)`

So, we have to choose a number for x containing a factor of
`43` and or
`5`. In this case, the best option is
`35=(7)(5)`:

Hence:

`√(215 (35))=√((43)(5)(7)(5))`

`√(215 (35))=√((25)(43)(7))=√(25) √(301)`

Finally:

`√(215 (35))=5 √(301)`