Step 1 We are given Let and Then Equation 1 Also, Subtracting But So Step 2 Now solve Add both Then Step 3 Recall Square both sides So Final Answer The value of is 11

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Year

CAT 2024

Section

Quantitative

Topic

Surds and Indices

Difficulty

Medium

Question

Slot-2

If $(x+6 \sqrt{2})^{\frac{1}{2}}-(x-6 \sqrt{2})^{\frac{1}{2}}=2 \sqrt{2}$ , then $x$ equals

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CAT 2024

Quantitative

Surds and Indices

Medium

If $(x+6 \sqrt{2})^{\frac{1}{2}}-(x-6 \sqrt{2})^{\frac{1}{2}}=2 \sqrt{2}$ , then $x$ equals

Master Your PI Skills for Top B-Schools!

Practice

Features

Support

CAT 2024

Quantitative

Surds and Indices

Medium

If (x+62)12−(x−62)12=22(x+6 \sqrt{2})^{\frac{1}{2}}-(x-6 \sqrt{2})^{\frac{1}{2}}=2 \sqrt{2}(x+62​)21​−(x−62​)21​=22​ , then xxx equals

Master Your PI Skills for Top B-Schools!

If $(x+6 \sqrt{2})^{\frac{1}{2}}-(x-6 \sqrt{2})^{\frac{1}{2}}=2 \sqrt{2}$ , then $x$ equals