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polet [3.4K]
3 years ago
13

Square root of 3x^4 times square root of 5x^2 times square root of 10.

Mathematics
2 answers:
Cloud [144]3 years ago
5 0

Answer:

Step-by-step explanation:

As long as the indices are the same for all the radicals, you can multiply them together. Our index for each of these is 2 (square root) so we multiply them all together and put it under 1 square root sign (radical):

\sqrt{150x^6  The largest perfect square in 150 is 25, and the 6th power on the x needs just to be rewritten in terms of an exponent of 2 to give us:

\sqrt{25*6*(x^3)^2} and pull out the perfect squares to get

5x^3\sqrt{6}

Ipatiy [6.2K]3 years ago
3 0

Answer:

5x^3\sqrt{6}

Step-by-step explanation:

We need to simplify

\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}

Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.

= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}

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