I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed to be multiplied.
2 square root 48
3 square root 81
6 square root 12
3 square root 32
2 square root 18
5 square root 48
3 square root 54
Thanks :)

1. 👍 0
2. 👎 0
3. 👁 421
1. To do this, you have to factor the radicand (or the number inside the radical sign) and look for perfect squares. For instance,
2 * √(48)
2 * √(16*3)
2 * √(4*4*3)
Express the repeating factors using exponents, so it's easier to see. Since four is multiplied by itself twice,
2 * √((4^2) * 3)
The 4^2 is a perfect square, it's squareroot is equal to 4. Therefore you have,
2 * 4 √(3)
= 8 * √(3)

#2.
3 * √(81)
3 * √(9*9)
3 * √(9^2)
3 * 9
= 27

#3.
6 * √(12)
6 * √(2*2*3)
6 * √((2^2) * 3)
6 * 2 * √(3)
= 12 * √(3)

#4.
3 * √(32)
3 * √(8*4)
3 * √(2*4*4)
3 * √((4^2) * 2)
3 * 4 * √(2)
= 12 * √(2)

Now, try solving the rest.
Hope this helps~ :3

1. 👍 0
2. 👎 0
posted by Jai
2. the square root of 20 minus the sqare root of 5 plus the square root of 45

1. 👍 0
2. 👎 0
posted by john

## Similar Questions

1. ### Intermidiate Algebra

asked by Maxine on April 16, 2015
2. ### math,algebra

I need help if someone can show me the steps to these 2 problems. Problem #1 Use the properties for radicals to simplify each of the following expressions. Assume that all variables represent positive real numbers. radical and

asked by jas20 on March 23, 2007
3. ### Pre-Calculus

Let f(x) = [(√x)-7]/[(√x)+7]. What is f'(x)? What is the easiest way to find the derivative of this? Should I remove all the radicals and use quotient rule, like f'(x)= ((x^0.5) + 7)(0.5x^-0.5) - ((x^0.5)-7)(0.5x^-0.5) /

asked by Ann on October 31, 2013
4. ### algebra

Can someone show me how to use fractional exponents to solve 5^(1/4)*5^(2/3) and then convert to radicals and simplify to the lowest terms?

asked by Katy on October 20, 2011
5. ### algebra

multiply and simplify by factoring. Assume that all expressions under the radicals represent nonnegative numbers. ^4 sq. rt. (810x^8y10)= show steps if possible.

asked by Randy on June 10, 2012
6. ### Math SCREAMING for HELP

Use the quadratic formula to slove the equation. x^2-x=-7 This is what I have got so far and I do not think this is right: x=1(-1)±√-1^2-4(1)(7)/2(1) x=1±√1-4(7)/2 x=1±√-21/2 x=1±-21/2 and here I am lost! Use rational

asked by Sabrina on September 24, 2010
7. ### Math simplifying mixed radicals

Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root: 2 square root 48 3 square root 81 6 square root

asked by Miley on September 14, 2013
8. ### Pre-Calculus

Find the slope of the tangent line to the curve √(1x+2y) + √(1xy) = 8.24 at the point (2,8)? I know you have to use implicit differentiation, but the radicals keep making me mess up algebraically. Is the changing the radicals

asked by Ann on November 14, 2013
9. ### Calculus

State whether the following are true or false. The square roots of 36 are + and - 6. I wrote down false for this cause I thought it was only + 6, but the real answer is true, and I want to know that how can it be negative? Also

asked by -Untamed- on September 24, 2011