Mathematics: Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11. negative 33 square root of 9 negative 11 square root of 9 negative 9 square root of 11 negative 9 square root of 33 question 5(multiple choice worth 1 points) simplify square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses. 14 15 square root of 2 5 square root of 2 end root minus 4 square root of 10 none of the above question 6(multiple choice worth 1 points) simplify square

Simplify 5 square root of 11 end root minus 12 square

milkshakegrande101

10.01.2022

$-9\sqrt{11}$ ; None of the above; $3\sqrt{7}$

Step-by-step explanation:

For the first question:

$5\sqrt{11}-12\sqrt{11}-2\sqrt{11}$

Treating the radicals as a variable, we combine like terms:

$5\sqrt{11}-12\sqrt{11}-2\sqrt{11}\\\\=-7\sqrt{11}-2\sqrt{11}\\\\-9\sqrt{11}$

For the second question:

$5(10-4\sqrt{2})$

We use the distributive property:

$5(10-4\sqrt{2})\\\\5\times 10-5\times4\sqrt{2}\\\\50-20\sqrt{2}$

This is not one of the choices available.

For the third question:

$\sqrt{3}\times \sqrt{21}$

We will first find the prime factorization of 21. 21 = 3*7:

$\sqrt{3}\times \sqrt{3\times7}$

These can all be written under one radical:

$\sqrt{3\times 3\times 7}$

For square roots, we want pairs of factors. We have a pair of 3s, so this comes out, giving us

$3\sqrt{7}$

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JDOaties7537

29.08.2021

Step-by-step explanation:

85*2=170

170+64+x=360

234+x=360

x=126

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