Chapter 9: Q. 9.166 (page 1101)

Try It.
Solve: $\sqrt{m} + 5 = \sqrt{m + 16}$

Short Answer

Expert verified

Ans: $\sqrt{m} + 5 = \sqrt{m + 16} \Rightarrow N o s o l u t i o n f o r m \in R$

Step by step solution

Step 1. Given information.

given expression $\sqrt{m} + 5 = \sqrt{m + 16}$

Step 2. Square both sides of the equation and solve it.

${(\sqrt{m} + 5)}^{2} = {(\sqrt{m + 16})}^{2} \Rightarrow m + 25 + 10 \sqrt{m} = m + 16 \Rightarrow 10 \sqrt{m} = - 9$

Step 3. Again, square both sides of the equation and solve it.

$(10 \sqrt{m)^{2}} = {(- 9)}^{2} \Rightarrow 100 m = 81 \Rightarrow m = \frac{81}{100}$

Step 4. Check the answer.

$\sqrt{m} + 5 = \sqrt{m + 16} \Rightarrow \sqrt{\frac{81}{100}} + 5 = \sqrt{\frac{81}{100} + 16} \Rightarrow \frac{9}{10} + 5 = \frac{\sqrt{197}}{10} \Rightarrow 5.9 \neq 1.403 \Rightarrow L H S \neq R H S$

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Try It.
Solve: $\sqrt{m} + 5 = \sqrt{m + 16}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Square both sides of the equation and solve it.

Step 3. Again, square both sides of the equation and solve it.

Step 4. Check the answer.

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Try It.Solve: m+5=m+16

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Square both sides of the equation and solve it.

Step 3. Again, square both sides of the equation and solve it.

Step 4. Check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Pure Maths

Geometry

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Try It.
Solve: $\sqrt{m} + 5 = \sqrt{m + 16}$