3 years ago

Is anything bigger than 1 whole?

1 answer:

3 0

Yes, numbers 2 , 3 , 4 , all the way to infinity are greater than 1

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For this case we have:

By properties of the radicals $\sqrt {a} = a ^{\frac {1} {2}}$

So:

$(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2$ .

Now, for power properties we have:

$(b ^ {\frac {c} {d}}) ^ e = b ^ {\frac {c * e} {d}}$

Thus, $(7 ^ {\frac {1} {2}}) ^ 2 = 7 ^ {\frac {2} {2}} = 7$

So:

$7 ^ {\frac {1} {2}} = \sqrt {7}$ in its radical form

Answer:

$(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7$ in its simplest form.

$7 ^ {\frac {1} {2}} = \sqrt {7}$ in its radical form

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