Matthew used his computer for 2 1/8 hours on Tuesday evening and for 2 1/4 hours on Wednesday

1 answer:

8 0

If your asking for the total, 2 1/4 has to change so there’s common denominator, so 2 1/4 x 2 = 2 2/8. Then add 2 2/8 + 2 1/8= 4 3/8

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Please help me with this

Soloha48 [4]

for an isosceles right triangle the legs would be 2 times the square root of the hypotenuse

so for this:

the legs would be 2sqrt(10)

3 0

3 years ago

Simplify the square root of 3 times the fifth root of 3.

bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

$\sqrt{3\sqrt[5]{3} }$

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

$\sqrt[n]{x^{m}}=x^{\frac{m}{n}}$

Applying the property, we have:

$\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}$

Now, we multiply exponents:

$(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}$

Then, we sum exponents to get the simplest form:

$3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}} \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }$