Which expression is equivalent to StartRoot 120 x EndRoot? 2 StartRoot 30 x EndRoot 2 StartRoot 30 EndRoot 4 StartRoot 30 x EndR

Question

3 years ago

3

oot 60 StartRoot 2 x EndRoot

1 answer:

julsineya [31] · Answer 1 · 2022-04-06T02:41:20+03:00

equivalent expression of StartRoot 120 x EndRoot is 2 StartRoot 30 x EndRoot

Option A is correct.

Step-by-step explanation:

We need to find equivalent expression of StartRoot 120 x EndRoot

Solving:

Converting into mathematical form.

$\sqrt{120x}$

Finding prime factors of 120

120: 2x2x2x3x5 = 2^2x2x3x5

Putting 2^2x2^2x3x5 instead of 120

$=\sqrt{2^2\times 2\times 3\times 5\times x}\\We \,\,know\,\,\sqrt{2^2}=2\,\,so\\=2\sqrt{2\times 3\times 5\times x}\\=2\sqrt{30 x}$

Solving $\sqrt{120x}$ we get $2\sqrt{30 x}$

So, equivalent expression of StartRoot 120 x EndRoot is 2 StartRoot 30 x EndRoot

Option A is correct.

Keywords: Solving radical expressions

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