年代implify the radicals, then multiply:

To simplify this expression, simply multiply the radicands and reduce to simplest form.

When multiplying square roots, the easiest thing to do isfirstto factor each root. Thus:

Now, when you combine the multiplied roots, it will be easier to come to your final solution. Just multiply together everything "under" the roots:

Finally this can be simplified as:

When multiplying square roots, the easiest thing to do isfirstto factor each root. Thus:

Now, when you combine the multiplied roots, it will be easier to come to your final solution. Remember that multiplying roots is very easy! Just multiply together everything "under" the roots:

Finally this can be simplified as:

Don't try to do too much at first for this problem. Multiply your radicals and your coefficients, then worry about any additional simplification.

Now simplify the radical.

Don't try to do too much at first for this problem. Multiply your radicals and your coefficients, then worry about any additional simplification.

Now, simplify your radical.

It might be a little difficult taking a fourth root of 100 to isolate x by itself; it might be easier to select an integer and take that number to the fourth power. For example 3⁴= 81 and 4⁴= 256. Since 3⁴is less than 100 and 4⁴is greater than 100, x would lie between 3 and 4.

The ratio of two numbers is merely the division of the two values. Therefore, for the information given, we know that the ratio of

to

can be rewritten:

Now, we know that the square root in the denominator can be "distributed" to the numerator and denominator of that fraction:

Thus, we have:

To divide fractions, you multiply by the reciprocal:

Now, since there is onein, you can rewrite the numerator:

This gives you:

Rationalize the denominator by multiplying both numerator and denominator by:

Let's be careful how we write the numerator so as to make explicit the shared factors:

Now, reduce:

This is the same as

To find a ratio like this, you need to divideby. Recall that when you have the square root of a fraction, you can "distribute" the square root to the numerator and the denominator. This lets you rewriteas:

Next, you can write the ratio of the two variables as:

Now, when you divide by a fraction, you can rewrite it as the multiplication by the reciprocal. This gives you:

年代implifying, you get:

You should rationalize the denominator:

This is the same as:

Find the Sum:

年代implify the radicals: