8 − x + 12 = 3 8-\sqrt{x+12}=3 8 − x + 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 3

5 − 12 \sqrt{5}-12 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 1 2

3 ( x + 5 ) 1 2 − 6 = 0 3\left(x+5\right)^{\frac{1}{2}}-6=0 3 ( x + 5 ) 2 1 − 6 = 0

2 − 5 \sqrt{2}-5 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 5

x + 13 − 8 = − 2 \sqrt{x+13}-8=-2 x + 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 8 = − 2

10 − 13 \sqrt{10}-13 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 1 3

Solving Square Root Equations

9th - 12th Grade

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Solving Square Root Equations

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.A.2, HSA.REI.A.1, HSN.RN.A.1

Standards-aligned

MEGAN KUTAC

Used 205+ times

FREE Resource

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\left(x+2\right)^{\frac{1}{2}}+3=7$

-14

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$8-\sqrt{x+12}=3$

no solution

$\sqrt{5}-12$

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$3\left(x+5\right)^{\frac{1}{2}}-6=0$

-3

-1

$\sqrt{2}-5$

no solution

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\frac{1}{4}\sqrt{32x}=1$

1/512

1/16

1/32

1/2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$2\left(x-7\right)^{\frac{1}{2}}-3=1$

no solution

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$3-\sqrt{2x-1}=6$

no solution

5/2

-5

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\sqrt{x+13}-8=-2$

no solution

$\sqrt{10}-13$

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\left(x+4\right)^{\frac{1}{2}}=0$

no solution

-4

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\sqrt{2x-6}-\sqrt{3x-14}=0$

-20

-8

Tags

CCSS.HSA.REI.A.2

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$2\sqrt{9-x}-\sqrt{1-9x}=0$

-17/7

-7

17/11

Tags

CCSS.HSA.REI.A.2

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Solving Square Root Equations

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(x+2)12+3=7\left(x+2\right)^{\frac{1}{2}}+3=7(x+2)21​+3=7

8−x+12=38-\sqrt{x+12}=38−x+12​=3

3(x+5)12−6=03\left(x+5\right)^{\frac{1}{2}}-6=03(x+5)21​−6=0

1432x=1\frac{1}{4}\sqrt{32x}=141​32x​=1

2(x−7)12−3=12\left(x-7\right)^{\frac{1}{2}}-3=12(x−7)21​−3=1

3−2x−1=63-\sqrt{2x-1}=63−2x−1​=6

x+13−8=−2\sqrt{x+13}-8=-2x+13​−8=−2

(x+4)12=0\left(x+4\right)^{\frac{1}{2}}=0(x+4)21​=0

2x−6−3x−14=0\sqrt{2x-6}-\sqrt{3x-14}=02x−6​−3x−14​=0

29−x−1−9x=02\sqrt{9-x}-\sqrt{1-9x}=029−x​−1−9x​=0

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Discover more resources for Mathematics

$\left(x+2\right)^{\frac{1}{2}}+3=7$

$8-\sqrt{x+12}=3$

$3\left(x+5\right)^{\frac{1}{2}}-6=0$

$\frac{1}{4}\sqrt{32x}=1$

$2\left(x-7\right)^{\frac{1}{2}}-3=1$

$3-\sqrt{2x-1}=6$

$\sqrt{x+13}-8=-2$

$\left(x+4\right)^{\frac{1}{2}}=0$

$\sqrt{2x-6}-\sqrt{3x-14}=0$

$2\sqrt{9-x}-\sqrt{1-9x}=0$