How to I multipy a fraction by a square root?

Question

How do I multiply a fraction by a square root? For example: 1/4 * sqrt(72). PLEASE HELP EXAM TOMORROW!!!!

Answer 1

rewrite it:

sqrt(72)/4

reduce sqrt(72) to 6[sqrt(2)]/4

it is 3 sqrt(2) / 2

Answer 2

Simplify as much as possible
1/4 * sqrt(72) =
1/4 * 6sqrt(2) -- because 72 = 36*2 so the sqrt of 72 is the sqrt of 36 (which is 6) times the sqrt of 2

= 6/4 * sqrt(2) =
3/2 * sqrt(2)

We usually write this (3sqrt2)/2

Answer 3

Square root
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In mathematics, a square root of a number x is a number r such that r2 = x, or in words, a number r whose square (the result of multiplying the number by itself) is x. Every non-negative real number x has a unique non-negative square root, called the principal square root and denoted with a radical symbol as . For example, the principal square root of 9 is 3, denoted , because . The other square root of 9 is −3.

Square roots often arise when solving quadratic equations, or equations of the form ax2 + bx + c = 0, due to the variable x being squared.

Per the fundamental theorem of algebra, there are two solutions to the equation defining the square roots of any number (although these roots may not be distinct, as in the square root of zero). For a positive real number, the two square roots are the principal square root and the negative square root (denoted ), together denoted . For negative real numbers, the concept of imaginary and complex numbers has been developed to provide a mathematical framework to deal with the results. Square roots of objects other than numbers can also be defined.

Square roots of integers that are not perfect squares are always irrational numbers: numbers not expressible as a ratio of two integers. For example, cannot be written exactly as m/n, where n and m are integers. Nonetheless, it is exactly the length of the diagonal of a square with side length 1. This has been known since ancient times, with the discovery that is irrational attributed to Hippasus, a disciple of Pythagoras. (See square root of 2 for proofs of the irrationality of this number.)

Answer 4

divide the square root by the bottom number like 1/4 * sqrt 72, divide sqrt 72 by four. or just use your calculator

Answer 5

well it's simple easy
1/4 * 7 2........... first find the square root of 7 2, it 49, than 1/4 multiply by 49, that's all

Answer 6

Take the square root first. Then in this case you would divide that number by 4. Hope this helps and good luck on your exam!

Answer 7

Do the root first and then multiply by the fraction. Good luck if that doesn't help look on google.

Answer 8

figure the square root first and then multiply w/ the fraction.

Answer 9

The square root of 72 is 8.5 (rounded off)
1/4 * 8.5 = 8.5/4
=2.1 ???

Answer 10

use your calculator