महाभारतः mahābhārataḥ - book-3, chapter-96, verse-14

अर्चयित्वा यथान्यायमिक्ष्वाकू राजसत्तमः ।
समाश्वस्तांस्ततोऽपृच्छत्प्रयोजनमुपक्रमे ॥१४॥

14. arcayitvā yathānyāyamikṣvākū rājasattamaḥ ,
samāśvastāṁstato'pṛcchatprayojanamupakrame.

14. arcayitvā yathānyāyam ikṣvāku rājasattamaḥ
samāśvastān tataḥ apṛcchat prayojanam upakrame

14. After honoring them appropriately, that Ikṣvāku, the best of kings, then asked the comforted visitors their purpose for coming.

Words meanings summery:

• अर्चयित्वा (arcayitvā) - having honored, after worshiping

• यथान्यायम् (yathānyāyam) - according to justice, appropriately, properly

• इक्ष्वाकु (ikṣvāku) - The Ikṣvāku king (referring to Trasadasyu) (Ikṣvāku (a king, founder of a dynasty))

• राजसत्तमः (rājasattamaḥ) - the best of kings (Trasadasyu) (the best of kings)

• समाश्वस्तान् (samāśvastān) - the comforted visitors (those who were comforted/reassured (accusative plural))

• ततः (tataḥ) - then, after that

• अपृच्छत् (apṛcchat) - he asked

• प्रयोजनम् (prayojanam) - purpose, motive

• उपक्रमे (upakrame) - for (their) undertaking, for (their) coming (at the beginning, at the commencement)

Words meanings and morphology

अर्चयित्वा (arcayitvā) - having honored, after worshiping

(indeclinable)

absolutive (gerund)

From causal of √arc

Root: arc (class 1)

यथान्यायम् (yathānyāyam) - according to justice, appropriately, properly

(indeclinable)

Avyayībhāva compound

Compound type : avyayībhāva (yathā+nyāya)

• yathā – as, according to
  indeclinable
• nyāya – rule, justice, logic, method
  noun (masculine)
  From √i with ni + ā
  Prefixes: ni+ā
  Root: i (class 2)

इक्ष्वाकु (ikṣvāku) - The Ikṣvāku king (referring to Trasadasyu) (Ikṣvāku (a king, founder of a dynasty))

(proper noun)

Nominative, masculine, singular of ikṣvāku

ikṣvāku - name of a celebrated ancient king, founder of the solar dynasty

राजसत्तमः (rājasattamaḥ) - the best of kings (Trasadasyu) (the best of kings)

(noun)

Nominative, masculine, singular of rājasattama

rājasattama - best of kings, chief of kings

Tatpurusha compound: rājan (king) + sattama (best)

Compound type : tatpurusha (rājan+sattama)

• rājan – king, ruler
  noun (masculine)
  From √rāj
  Root: rāj (class 1)
• sattama – best, excellent, most eminent
  adjective (masculine)
  Superlative suffix -tama

Note: Apposition to Ikṣvāku, referring to Trasadasyu.

समाश्वस्तान् (samāśvastān) - the comforted visitors (those who were comforted/reassured (accusative plural))

(adjective)

Accusative, masculine, plural of samāśvasta

samāśvasta - comforted, reassured, confident

Past Passive Participle

From √śvas with upasargas sam + ā.

Prefixes: sam+ā

Root: śvas (class 2)

Note: Refers to Agastya, Śrutarvā, and Vadhryaśva.

ततः (tataḥ) - then, after that

(indeclinable)

अपृच्छत् (apṛcchat) - he asked

(verb)

3rd person , singular, active, past imperfect (laṅ) of prach

Imperfect tense, 3rd person singular

Root √prach, 6th class, Parasmaipada, imperfect.

Root: prach (class 6)

प्रयोजनम् (prayojanam) - purpose, motive

(noun)

Accusative, neuter, singular of prayojana

prayojana - purpose, object, motive, aim

From √yuj with pra.

Prefix: pra

Root: yuj (class 7)

Note: Object of apṛcchat.

उपक्रमे (upakrame) - for (their) undertaking, for (their) coming (at the beginning, at the commencement)

(noun)

Locative, masculine, singular of upakrama

upakrama - beginning, commencement, undertaking, effort

From √kram with upa

Prefix: upa

Root: kram (class 1)

Note: Indicates the context or stage of their visit/purpose.